100021112120 has 128 divisors (see below), whose sum is σ = 233990648640. Its totient is φ = 38450626560.

The previous prime is 100021112119. The next prime is 100021112129. The reversal of 100021112120 is 21211120001.

100021112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100021112120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58939112 + ... + 58940808.

Almost surely, 2^100021112120 is an apocalyptic number.

100021112120 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 100021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116995324320).

100021112120 is an abundant number, since it is smaller than the sum of its proper divisors (133969536520).

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

100021112120 is a wasteful number, since it uses less digits than its factorization.

100021112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100021112120 its reverse (21211120001), we get a palindrome (121232232121).

The spelling of 100021112120 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twenty".