102421318869504 has 480 divisors, whose sum is σ = 325934411362560. Its totient is φ = 31997576282112.

The previous prime is 102421318869461. The next prime is 102421318869577. The reversal of 102421318869504 is 405968813124201.

102421318869504 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 21 + 31 + 8 + 86 + 9 + 504 = 666.

It is a super-2 number, since 2×102421318869504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 505400902 + ... + 505603514.

It is an arithmetic number, because the mean of its divisors is an integer number (679030023672).

Almost surely, 2^{102421318869504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102421318869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162967205681280).

102421318869504 is an abundant number, since it is smaller than the sum of its proper divisors (223513092493056).

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

102421318869504 is an equidigital number, since it uses as much as digits as its factorization.

102421318869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202902 (or 202874 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 102421318869504 in words is "one hundred two trillion, four hundred twenty-one billion, three hundred eighteen million, eight hundred sixty-nine thousand, five hundred four".