It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 101 is not a prime number.
For example, 330 101 can be divided by 89: 330 101 / 89 = 3 709.
For 330 101 to be a prime number, it would have been required that 330 101 has only two divisors, i.e., itself and 1.
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330 101 is an odd number, because it is not evenly divisible by 2.
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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 330 101 is about 574.544.
Thus, the square root of 330 101 is not an integer, and therefore 330 101 is not a square number.
The square of a number (here 330 101) is the result of the product of this number (330 101) by itself (i.e., 330 101 × 330 101); the square of 330 101 is sometimes called "raising 330 101 to the power 2", or "330 101 squared".
The square of 330 101 is 108 966 670 201 because 330 101 × 330 101 = 330 1012 = 108 966 670 201.
As a consequence, 330 101 is the square root of 108 966 670 201.
The multiples of 330 101 are all integers evenly divisible by 330 101, that is all numbers such that the remainder of the division by 330 101 is zero. There are infinitely many multiples of 330 101. The smallest multiples of 330 101 are: