102112112100 has 216 divisors, whose sum is σ = 306479488224. Its totient is φ = 26248320000.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112100 is 1211211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97156575 + ... + 97157625.

Almost surely, 2^102112112100 is an apocalyptic number.

102112112100 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 102112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153239744112).

102112112100 is an abundant number, since it is smaller than the sum of its proper divisors (204367376124).

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

102112112100 is a wasteful number, since it uses less digits than its factorization.

102112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112112100 its reverse (1211211201), we get a palindrome (103323323301).

The spelling of 102112112100 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred".