100112011120 has 80 divisors (see below), whose sum is σ = 253968709248. Its totient is φ = 36397451520.

The previous prime is 100112011117. The next prime is 100112011121. The reversal of 100112011120 is 21110211001.

100112011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 100112011097 and 100112011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7972687 + ... + 7985233.

Almost surely, 2^100112011120 is an apocalyptic number.

100112011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112011120 is an abundant number, since it is smaller than the sum of its proper divisors (153856698128).

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

100112011120 is a wasteful number, since it uses less digits than its factorization.

100112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21638 (or 21632 counting only the distinct ones).

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

Adding to 100112011120 its reverse (21110211001), we get a palindrome (121222222121).

The spelling of 100112011120 in words is "one hundred billion, one hundred twelve million, eleven thousand, one hundred twenty".