112112020100 has 72 divisors (see below), whose sum is σ = 245116785480. Its totient is φ = 44507473920.

The previous prime is 112112020093. The next prime is 112112020117. The reversal of 112112020100 is 1020211211.

It can be written as a sum of positive squares in 12 ways, for example, as 17483186176 + 94628833924 = 132224^2 + 307618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15335246 + ... + 15342554.

Almost surely, 2^112112020100 is an apocalyptic number.

112112020100 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 112112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122558392740).

112112020100 is an abundant number, since it is smaller than the sum of its proper divisors (133004765380).

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

112112020100 is a wasteful number, since it uses less digits than its factorization.

112112020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112112020100 its reverse (1020211211), we get a palindrome (113132231311).

The spelling of 112112020100 in words is "one hundred twelve billion, one hundred twelve million, twenty thousand, one hundred".