102021265011013 has 2 divisors, whose sum is σ = 102021265011014. Its totient is φ = 102021265011012.

The previous prime is 102021265011007. The next prime is 102021265011053. The reversal of 102021265011013 is 310110562120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58038464416804 + 43982800594209 = 7618298^2 + 6631953^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021265011013 - 2²¹ = 102021262913861 is a prime.

It is a super-2 number, since 2×102021265011013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102021265011053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010632505506 + 51010632505507.

It is an arithmetic number, because the mean of its divisors is an integer number (51010632505507).

Almost surely, 2^{102021265011013} is an apocalyptic number.

It is an amenable number.

102021265011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021265011013 is an equidigital number, since it uses as much as digits as its factorization.

102021265011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 102021265011013 in words is "one hundred two trillion, twenty-one billion, two hundred sixty-five million, eleven thousand, thirteen".