112100201111112 has 128 divisors (see below), whose sum is σ = 285464522851200. Its totient is φ = 36677415610368.

The previous prime is 112100201111111. The next prime is 112100201111113. The reversal of 112100201111112 is 211111102001211.

It is an interprime number because it is at equal distance from previous prime (112100201111111) and next prime (112100201111113).

It is a junction number, because it is equal to n+sod(n) for n = 112100201111091 and 112100201111100.

It is not an unprimeable number, because it can be changed into a prime (112100201111111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4696464714 + ... + 4696488582.

It is an arithmetic number, because the mean of its divisors is an integer number (2230191584775).

Almost surely, 2^{112100201111112} is an apocalyptic number.

112100201111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100201111112 is an abundant number, since it is smaller than the sum of its proper divisors (173364321740088).

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

112100201111112 is a wasteful number, since it uses less digits than its factorization.

112100201111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39135 (or 39131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112100201111112 its reverse (211111102001211), we get a palindrome (323211303112323).

The spelling of 112100201111112 in words is "one hundred twelve trillion, one hundred billion, two hundred one million, one hundred eleven thousand, one hundred twelve".