diff --git a/Lib/copy.py b/Lib/copy.py
index 6e8c19bc652d12..da2908ef623d8c 100644
--- a/Lib/copy.py
+++ b/Lib/copy.py
@@ -101,13 +101,11 @@ def copy(x):
 
 def _copy_immutable(x):
     return x
-for t in (type(None), int, float, bool, complex, str, tuple,
+for t in (types.NoneType, int, float, bool, complex, str, tuple,
           bytes, frozenset, type, range, slice, property,
-          types.BuiltinFunctionType, type(Ellipsis), type(NotImplemented),
-          types.FunctionType, weakref.ref):
-    d[t] = _copy_immutable
-t = getattr(types, "CodeType", None)
-if t is not None:
+          types.BuiltinFunctionType, types.EllipsisType,
+          types.NotImplementedType, types.FunctionType, types.CodeType,
+          weakref.ref):
     d[t] = _copy_immutable
 
 d[list] = list.copy
@@ -173,9 +171,9 @@ def deepcopy(x, memo=None, _nil=[]):
 
 def _deepcopy_atomic(x, memo):
     return x
-d[type(None)] = _deepcopy_atomic
-d[type(Ellipsis)] = _deepcopy_atomic
-d[type(NotImplemented)] = _deepcopy_atomic
+d[types.NoneType] = _deepcopy_atomic
+d[types.EllipsisType] = _deepcopy_atomic
+d[types.NotImplementedType] = _deepcopy_atomic
 d[int] = _deepcopy_atomic
 d[float] = _deepcopy_atomic
 d[bool] = _deepcopy_atomic