It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 202 is not a prime number.
For example, 10 202 can be divided by 2: 10 202 / 2 = 5 101.
For 10 202 to be a prime number, it would have been required that 10 202 has only two divisors, i.e., itself and 1.
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10 202 is an even number, because it is evenly divisible by 2: 10 202 / 2 = 5 101.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 10 202 is about 101.005.
Thus, the square root of 10 202 is not an integer, and therefore 10 202 is not a square number.
The square of a number (here 10 202) is the result of the product of this number (10 202) by itself (i.e., 10 202 × 10 202); the square of 10 202 is sometimes called "raising 10 202 to the power 2", or "10 202 squared".
The square of 10 202 is 104 080 804 because 10 202 × 10 202 = 10 2022 = 104 080 804.
As a consequence, 10 202 is the square root of 104 080 804.
The multiples of 10 202 are all integers evenly divisible by 10 202, that is all numbers such that the remainder of the division by 10 202 is zero. There are infinitely many multiples of 10 202. The smallest multiples of 10 202 are: