102131233200 has 1080 divisors, whose sum is σ = 410051442528. Its totient is φ = 23405690880.

The previous prime is 102131233189. The next prime is 102131233247. The reversal of 102131233200 is 2332131201.

102131233200 is a `hidden beast` number, since 1 + 0 + 21 + 312 + 332 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 1927004374 + ... + 1927004426.

Almost surely, 2^102131233200 is an apocalyptic number.

102131233200 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 102131233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205025721264).

102131233200 is an abundant number, since it is smaller than the sum of its proper divisors (307920209328).

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

102131233200 is a wasteful number, since it uses less digits than its factorization.

102131233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102131233200 its reverse (2332131201), we get a palindrome (104463364401).

The spelling of 102131233200 in words is "one hundred two billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred".