100112101120000 has 120 divisors (see below), whose sum is σ = 250139082293100. Its totient is φ = 40044839936000.

The previous prime is 100112101119983. The next prime is 100112101120033. The reversal of 100112101120000 is 21101211001.

It is a super-2 number, since 2×100112101120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37826290 + ... + 40386289.

Almost surely, 2^{100112101120000} is an apocalyptic number.

100112101120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112101120000 is an abundant number, since it is smaller than the sum of its proper divisors (150026981173100).

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

100112101120000 is an frugal number, since it uses more digits than its factorization.

100112101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212621 (or 78212586 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112101120000 its reverse (21101211001), we get a palindrome (100133202331001).

The spelling of 100112101120000 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand".