112101112200 has 768 divisors, whose sum is σ = 461541888000. Its totient is φ = 22270617600.

The previous prime is 112101112199. The next prime is 112101112231. The reversal of 112101112200 is 2211101211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52066324 + ... + 52068476.

It is an arithmetic number, because the mean of its divisors is an integer number (600966000).

Almost surely, 2^112101112200 is an apocalyptic number.

112101112200 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 112101112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230770944000).

112101112200 is an abundant number, since it is smaller than the sum of its proper divisors (349440775800).

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

112101112200 is a wasteful number, since it uses less digits than its factorization.

112101112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2204 counting only the distinct ones).

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

Adding to 112101112200 its reverse (2211101211), we get a palindrome (114312213411).

The spelling of 112101112200 in words is "one hundred twelve billion, one hundred one million, one hundred twelve thousand, two hundred".