It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 101 is not a prime number.
For example, 421 101 can be divided by 3: 421 101 / 3 = 140 367.
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For 421 101 to be a prime number, it would have been required that 421 101 has only two divisors, i.e., itself and 1.
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421 101 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 421 101 is about 648.923.
Thus, the square root of 421 101 is not an integer, and therefore 421 101 is not a square number.
The square of a number (here 421 101) is the result of the product of this number (421 101) by itself (i.e., 421 101 × 421 101); the square of 421 101 is sometimes called "raising 421 101 to the power 2", or "421 101 squared".
The square of 421 101 is 177 326 052 201 because 421 101 × 421 101 = 421 1012 = 177 326 052 201.
As a consequence, 421 101 is the square root of 177 326 052 201.
The multiples of 421 101 are all integers evenly divisible by 421 101, that is all numbers such that the remainder of the division by 421 101 is zero. There are infinitely many multiples of 421 101. The smallest multiples of 421 101 are: