102421024992 has 1152 divisors, whose sum is σ = 388879626240. Its totient is φ = 26094182400.

The previous prime is 102421024991. The next prime is 102421025027. The reversal of 102421024992 is 299420124201.

102421024992 is a `hidden beast` number, since 102 + 421 + 0 + 2 + 49 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102421024991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3303904017 + ... + 3303904047.

It is an arithmetic number, because the mean of its divisors is an integer number (337569120).

Almost surely, 2^102421024992 is an apocalyptic number.

102421024992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102421024992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194439813120).

102421024992 is an abundant number, since it is smaller than the sum of its proper divisors (286458601248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102421024992 is a wasteful number, since it uses less digits than its factorization.

102421024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102421024992 in words is "one hundred two billion, four hundred twenty-one million, twenty-four thousand, nine hundred ninety-two".