No, none of them are positive integers.
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No. 0 is a non-negative integer which is not positive.
The sum of the first 201 positive integers is 20100 if you include 0 (i.e. from 0 to 200). If you sum the integers from 1 to 201 instead, the sum is 20301.
positive integers
Integers are all whole numbers, both negative and positive (< 0, >0)
When the sum of all the positive integers in the sum is exactly matched (in magnitude) by the sum of all the negative integers.