112000111202100 has 288 divisors, whose sum is σ = 357060633656832. Its totient is φ = 26879144000000.

The previous prime is 112000111202033. The next prime is 112000111202143. The reversal of 112000111202100 is 1202111000211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3195329575 + ... + 3195364625.

It is an arithmetic number, because the mean of its divisors is an integer number (1239793866864).

Almost surely, 2^{112000111202100} is an apocalyptic number.

112000111202100 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 112000111202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178530316828416).

112000111202100 is an abundant number, since it is smaller than the sum of its proper divisors (245060522454732).

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

112000111202100 is a wasteful number, since it uses less digits than its factorization.

112000111202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44767 (or 44760 counting only the distinct ones).

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

Adding to 112000111202100 its reverse (1202111000211), we get a palindrome (113202222202311).

It can be divided in two parts, 112000111 and 202100, that added together give a palindrome (112202211).

The spelling of 112000111202100 in words is "one hundred twelve trillion, one hundred eleven million, two hundred two thousand, one hundred".