It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 102 is not a prime number.
For example, 10 102 can be divided by 2: 10 102 / 2 = 5 051.
For 10 102 to be a prime number, it would have been required that 10 102 has only two divisors, i.e., itself and 1.
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10 102 is an even number, because it is evenly divisible by 2: 10 102 / 2 = 5 051.
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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 10 102 is about 100.509.
Thus, the square root of 10 102 is not an integer, and therefore 10 102 is not a square number.
The square of a number (here 10 102) is the result of the product of this number (10 102) by itself (i.e., 10 102 × 10 102); the square of 10 102 is sometimes called "raising 10 102 to the power 2", or "10 102 squared".
The square of 10 102 is 102 050 404 because 10 102 × 10 102 = 10 1022 = 102 050 404.
As a consequence, 10 102 is the square root of 102 050 404.
The multiples of 10 102 are all integers evenly divisible by 10 102, that is all numbers such that the remainder of the division by 10 102 is zero. There are infinitely many multiples of 10 102. The smallest multiples of 10 102 are: