112101211111200 has 72 divisors (see below), whose sum is σ = 364889442174768. Its totient is φ = 29893656295680.

The previous prime is 112101211111187. The next prime is 112101211111213. The reversal of 112101211111200 is 2111112101211.

It is an interprime number because it is at equal distance from previous prime (112101211111187) and next prime (112101211111213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112101211111200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23354416582 + ... + 23354421381.

It is an arithmetic number, because the mean of its divisors is an integer number (5067908919094).

Almost surely, 2^{112101211111200} is an apocalyptic number.

112101211111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101211111200 is an abundant number, since it is smaller than the sum of its proper divisors (252788231063568).

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

112101211111200 is a wasteful number, since it uses less digits than its factorization.

112101211111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46708837986 (or 46708837973 counting only the distinct ones).

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

Adding to 112101211111200 its reverse (2111112101211), we get a palindrome (114212323212411).

The spelling of 112101211111200 in words is "one hundred twelve trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, two hundred".