diff --git a/Lib/operator.py b/Lib/operator.py
index 02ccdaa13dd..1b765522f85 100644
--- a/Lib/operator.py
+++ b/Lib/operator.py
@@ -14,8 +14,8 @@
            'delitem', 'eq', 'floordiv', 'ge', 'getitem', 'gt', 'iadd', 'iand',
            'iconcat', 'ifloordiv', 'ilshift', 'imatmul', 'imod', 'imul',
            'index', 'indexOf', 'inv', 'invert', 'ior', 'ipow', 'irshift',
-           'is_', 'is_not', 'isub', 'itemgetter', 'itruediv', 'ixor', 'le',
-           'length_hint', 'lshift', 'lt', 'matmul', 'methodcaller', 'mod',
+           'is_', 'is_none', 'is_not', 'is_not_none', 'isub', 'itemgetter', 'itruediv',
+           'ixor', 'le', 'length_hint', 'lshift', 'lt', 'matmul', 'methodcaller', 'mod',
            'mul', 'ne', 'neg', 'not_', 'or_', 'pos', 'pow', 'rshift',
            'setitem', 'sub', 'truediv', 'truth', 'xor']
 
@@ -66,6 +66,14 @@ def is_not(a, b):
     "Same as a is not b."
     return a is not b
 
+def is_none(a):
+    "Same as a is None."
+    return a is None
+
+def is_not_none(a):
+    "Same as a is not None."
+    return a is not None
+
 # Mathematical/Bitwise Operations *********************************************#
 
 def abs(a):
@@ -415,7 +423,7 @@ def ixor(a, b):
 except ImportError:
     pass
 else:
-    from _operator import __doc__
+    from _operator import __doc__  # noqa: F401
 
 # All of these "__func__ = func" assignments have to happen after importing
 # from _operator to make sure they're set to the right function
diff --git a/Lib/test/test_operator.py b/Lib/test/test_operator.py
index 05b7a7462db..f8b36a3c2f1 100644
--- a/Lib/test/test_operator.py
+++ b/Lib/test/test_operator.py
@@ -347,6 +347,26 @@ def test_is_not(self):
         self.assertFalse(operator.is_not(a, b))
         self.assertTrue(operator.is_not(a,c))
 
+    def test_is_none(self):
+        operator = self.module
+        a = 'xyzpdq'
+        b = ''
+        c = None
+        self.assertRaises(TypeError, operator.is_none)
+        self.assertFalse(operator.is_none(a))
+        self.assertFalse(operator.is_none(b))
+        self.assertTrue(operator.is_none(c))
+
+    def test_is_not_none(self):
+        operator = self.module
+        a = 'xyzpdq'
+        b = ''
+        c = None
+        self.assertRaises(TypeError, operator.is_not_none)
+        self.assertTrue(operator.is_not_none(a))
+        self.assertTrue(operator.is_not_none(b))
+        self.assertFalse(operator.is_not_none(c))
+
     def test_attrgetter(self):
         operator = self.module
         class A:
@@ -462,6 +482,8 @@ def bar(self, f=42):
                 return f
             def baz(*args, **kwds):
                 return kwds['name'], kwds['self']
+            def return_arguments(self, *args, **kwds):
+                return args, kwds
         a = A()
         f = operator.methodcaller('foo')
         self.assertRaises(IndexError, f, a)
@@ -478,6 +500,17 @@ def baz(*args, **kwds):
         f = operator.methodcaller('baz', name='spam', self='eggs')
         self.assertEqual(f(a), ('spam', 'eggs'))
 
+        many_positional_arguments = tuple(range(10))
+        many_kw_arguments = dict(zip('abcdefghij', range(10)))
+        f = operator.methodcaller('return_arguments', *many_positional_arguments)
+        self.assertEqual(f(a), (many_positional_arguments, {}))
+
+        f = operator.methodcaller('return_arguments', **many_kw_arguments)
+        self.assertEqual(f(a), ((), many_kw_arguments))
+
+        f = operator.methodcaller('return_arguments', *many_positional_arguments, **many_kw_arguments)
+        self.assertEqual(f(a), (many_positional_arguments, many_kw_arguments))
+
     def test_inplace(self):
         operator = self.module
         class C(object):
@@ -635,22 +668,20 @@ class PyOperatorTestCase(OperatorTestCase, unittest.TestCase):
 class COperatorTestCase(OperatorTestCase, unittest.TestCase):
     module = c_operator
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
+    @unittest.expectedFailure  # TODO: RUSTPYTHON
     def test_attrgetter_signature(self):
-        super().test_attrgetter_signature()
+        return super().test_attrgetter_signature()
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
+    @unittest.expectedFailure  # TODO: RUSTPYTHON
     def test_itemgetter_signature(self):
-        super().test_itemgetter_signature()
+        return super().test_itemgetter_signature()
 
-    # TODO: RUSTPYTHON
-    @unittest.expectedFailure
+    @unittest.expectedFailure  # TODO: RUSTPYTHON
     def test_methodcaller_signature(self):
-        super().test_methodcaller_signature()
+        return super().test_methodcaller_signature()
 
 
+@support.thread_unsafe("swaps global operator module")
 class OperatorPickleTestCase:
     def copy(self, obj, proto):
         with support.swap_item(sys.modules, 'operator', self.module):