100112112000000 has 1232 divisors, whose sum is σ = 375306249143520. Its totient is φ = 26687232000000.

The previous prime is 100112111999989. The next prime is 100112112000041. The reversal of 100112112000000 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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34991998570 + ... + 34992001430.

Almost surely, 2^{100112112000000} is an apocalyptic number.

100112112000000 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 100112112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187653124571760).

100112112000000 is an abundant number, since it is smaller than the sum of its proper divisors (275194137143520).

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

100112112000000 is an frugal number, since it uses more digits than its factorization.

100112112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2871 counting only the distinct ones).

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

Adding to 100112112000000 its reverse (211211001), we get a palindrome (100112323211001).

The spelling of 100112112000000 in words is "one hundred trillion, one hundred twelve billion, one hundred twelve million", and thus it is an aban number.