101010021021521 has 2 divisors, whose sum is σ = 101010021021522. Its totient is φ = 101010021021520.

The previous prime is 101010021021517. The next prime is 101010021021563. The reversal of 101010021021521 is 125120120010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98938332900625 + 2071688120896 = 9946775^2 + 1439336^2 .

It is an emirp because it is prime and its reverse (125120120010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010021021521 - 2² = 101010021021517 is a prime.

It is a super-2 number, since 2×101010021021521² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101010021021521.

It is not a weakly prime, because it can be changed into another prime (101010021023521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505010510760 + 50505010510761.

It is an arithmetic number, because the mean of its divisors is an integer number (50505010510761).

Almost surely, 2^{101010021021521} is an apocalyptic number.

It is an amenable number.

101010021021521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010021021521 is an equidigital number, since it uses as much as digits as its factorization.

101010021021521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 101010021021521 its reverse (125120120010101), we get a palindrome (226130141031622).

The spelling of 101010021021521 in words is "one hundred one trillion, ten billion, twenty-one million, twenty-one thousand, five hundred twenty-one".