102399924211200 has 4800 divisors, whose sum is σ = 504153574391808. Its totient is φ = 19872586137600.

The previous prime is 102399924211163. The next prime is 102399924211229. The reversal of 102399924211200 is 2112429993201.

102399924211200 is a `hidden beast` number, since 1 + 0 + 2 + 399 + 9 + 2 + 42 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 267362726209 + ... + 267362726591.

Almost surely, 2^{102399924211200} is an apocalyptic number.

102399924211200 is a gapful number since it is divisible by the number (10) 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 102399924211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252076787195904).

102399924211200 is an abundant number, since it is smaller than the sum of its proper divisors (401753650180608).

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

102399924211200 is a wasteful number, since it uses less digits than its factorization.

102399924211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 102399924211200 in words is "one hundred two trillion, three hundred ninety-nine billion, nine hundred twenty-four million, two hundred eleven thousand, two hundred".