102255811200 has 288 divisors, whose sum is σ = 384078021600. Its totient is φ = 25832908800.

The previous prime is 102255811199. The next prime is 102255811243. The reversal of 102255811200 is 2118552201.

It is a happy number.

102255811200 is a `hidden beast` number, since 102 + 2 + 558 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453765 + ... + 640635.

Almost surely, 2^102255811200 is an apocalyptic number.

102255811200 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 102255811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192039010800).

102255811200 is an abundant number, since it is smaller than the sum of its proper divisors (281822210400).

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

102255811200 is a wasteful number, since it uses less digits than its factorization.

102255811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186920 (or 186900 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 102255811200 in words is "one hundred two billion, two hundred fifty-five million, eight hundred eleven thousand, two hundred".