diff --git a/jsonpointer.py b/jsonpointer.py
index 3ef02ec..479003c 100644
--- a/jsonpointer.py
+++ b/jsonpointer.py
@@ -420,7 +420,7 @@ def __eq__(self, other):
         """
 
         if not isinstance(other, JsonPointer):
-            return False
+            return NotImplemented
 
         return self.parts == other.parts
 
diff --git a/tests.py b/tests.py
index b755047..c1542d7 100755
--- a/tests.py
+++ b/tests.py
@@ -171,6 +171,23 @@ def test_eq_hash(self):
         # a pointer compares not-equal to objects of other types
         self.assertFalse(p1 == "/something/1/b")
 
+    def test_other_types_remain_unequal(self):
+        for other in ["/a/b/c", None, 1, object()]:
+            for left, right in [(self.ptr1, other), (other, self.ptr1)]:
+                with self.subTest(left=left, right=right):
+                    self.assertFalse(left == right)
+                    self.assertTrue(left != right)
+
+    def test_reflected_equality(self):
+        for left, right in [(self.ptr1, mock.ANY), (mock.ANY, self.ptr1)]:
+            with self.subTest(left=left, right=right):
+                self.assertTrue(left == right)
+
+    def test_reflected_inequality(self):
+        for left, right in [(self.ptr1, mock.ANY), (mock.ANY, self.ptr1)]:
+            with self.subTest(left=left, right=right):
+                self.assertFalse(left != right)
+
     def test_contains(self):
         self.assertTrue(self.ptr1.contains(self.ptr2))
         self.assertTrue(self.ptr1.contains(self.ptr1))