102827591293021 has 24 divisors (see below), whose sum is σ = 123996963029184. Its totient is φ = 83517945772800.

The previous prime is 102827591292989. The next prime is 102827591293057. The reversal of 102827591293021 is 120392195728201.

It is not a de Polignac number, because 102827591293021 - 2⁵ = 102827591292989 is a prime.

It is a super-2 number, since 2×102827591293021² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102827591293021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102827591293321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129364180 + ... + 130156621.

It is an arithmetic number, because the mean of its divisors is an integer number (5166540126216).

Almost surely, 2^{102827591293021} is an apocalyptic number.

It is an amenable number.

102827591293021 is a deficient number, since it is larger than the sum of its proper divisors (21169371736163).

102827591293021 is a wasteful number, since it uses less digits than its factorization.

102827591293021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259520961 (or 259520938 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 102827591293021 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-three thousand, twenty-one".