Is 201121021 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 201 121 021 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 201 121 021, the only two divisors are 1 and 201 121 021. Therefore 201 121 021 is a prime number.
As a consequence, 201 121 021 is only a multiple of 1 and 201 121 021.
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Since 201121021 is a prime number, 201121021 is also a deficient number, that is to say 201121021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 201121021 without 201121021 itself (that is 1, by definition!).
