112100102112 has 96 divisors (see below), whose sum is σ = 306382202784. Its totient is φ = 35857612800.

The previous prime is 112100102111. The next prime is 112100102131. The reversal of 112100102112 is 211201001211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6648 + ... + 473544.

It is an arithmetic number, because the mean of its divisors is an integer number (3191481279).

Almost surely, 2^112100102112 is an apocalyptic number.

112100102112 is a gapful number since it is divisible by the number (12) 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 112100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153191101392).

112100102112 is an abundant number, since it is smaller than the sum of its proper divisors (194282100672).

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

112100102112 is a wasteful number, since it uses less digits than its factorization.

112100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467012 (or 467004 counting only the distinct ones).

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

Adding to 112100102112 its reverse (211201001211), we get a palindrome (323301103323).

The spelling of 112100102112 in words is "one hundred twelve billion, one hundred million, one hundred two thousand, one hundred twelve".