100112112000 has 512 divisors, whose sum is σ = 373429180800. Its totient is φ = 26687232000.

The previous prime is 100112111947. The next prime is 100112112007. The reversal of 100112112000 is 211211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34990570 + ... + 34993430.

Almost surely, 2^100112112000 is an apocalyptic number.

100112112000 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 100112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186714590400).

100112112000 is an abundant number, since it is smaller than the sum of its proper divisors (273317068800).

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

100112112000 is an frugal number, since it uses more digits than its factorization.

100112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100112112000 its reverse (211211001), we get a palindrome (100323323001).

Subtracting from 100112112000 its reverse (211211001), we obtain a palindrome (99900900999).

The spelling of 100112112000 in words is "one hundred billion, one hundred twelve million, one hundred twelve thousand".