This is a follow up question to the following post (checking the link is not required to understand the question)
Counter variable for class
We set idCounter as a class variable for class Student and it counts the number of instances created .
This is the class:
class Student:
# A student ID counter
    idCounter = 0
def __init__(self):
    self.gpa = 0
    self.record = {}
    # Each time I create a new student, the idCounter increment
    Student.idCounter += 1
    self.name = 'Student {0}'.format(Student.idCounter)
Now, we instantiate a few instances then check the value of idCounter:
student1 = Student()
student2 = Student()
student3 = Student()
student4 = Student()
Student.idCounter
4
However, maintaining a counter is rendered moot if you can do this:
Student.idCounter = 2000
Now create new instance:
student5 = Student()
and check idCounter:
Student.idCounter
2001
idCounter can simply screw up the counter without ever running __init__. 
How can you create a counter (or any class variable) that will only increment when __init__ runs ? and cannot be modified independently by calling the class variable from the class as shown above. 
Is there a general way to restrict a class variable from being modified using the syntax?
ClassName.ClassVariable = new_value
Thank you.
Improved version with a property but same principle:
class Meta(type):
    def __init__(cls, *args, **kwargs):
        cls.__value = 0
        super().__init__(*args, **kwargs)
    @property
    def idCounter(cls):
        return cls.__value
class Student(metaclass=Meta):
    def __init__(self):
        self.__class__._Meta__value += 1
Now:
>>> s1 = Student()
>>> Student.idCounter
1
>>> s2 = Student()
>>> Student.idCounter
2
>>> Student.idCounter = 100    
---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call last)
<ipython-input-64-a525899df18d> in <module>()
----> 1 Student.idCounter = 100
AttributeError: can't set attribute  
Using a descriptor and a metaclass:
class Counter:
    def __init__(self):
        self.value = 0
    def __get__(self, instance, cls):
        return getattr(instance, '_{}__hidden_counter'.format(instance.__name__ ))
    def __set__(self, instance, value):
        raise NotImplementedError
class Meta(type):
    idCounter = Counter()
class Student(metaclass=Meta):
    __hidden_counter = 0
    def __init__(self):
        Student.__hidden_counter += 1
seems to achieve this:
>>> s1 = Student()
>>> Student.idCounter
1
>>> s2 = Student()
>>> Student.idCounter
2
>>> Student.idCounter = 200
---------------------------------------------------------------------------
NotImplementedError                       Traceback (most recent call last)
<ipython-input-51-dc2483b583f6> in <module>()
----> 1 Student.idCounter = 200
<ipython-input-46-b21e03bf3cb3> in __set__(self, instance, value)
      5         return getattr(instance, '_{}__hidden_counter'.format(instance.__name__ ))
      6     def __set__(self, instance, value):
----> 7         raise NotImplementedError
      8 
      9 class Meta(type):
NotImplementedError:
>>> Student.idCounter
2
This can still intentionally be broken:
>>> Student._Student__hidden_counter = 100
>>> Student.idCounter
100
but not by accident.
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