100112103120 has 80 divisors (see below), whose sum is σ = 310397811840. Its totient is φ = 26692234752.

The previous prime is 100112103107. The next prime is 100112103149. The reversal of 100112103120 is 21301211001.

100112103120 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 super-2 number, since 2×100112103120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112103096 and 100112103105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618197 + ... + 1678923.

It is an arithmetic number, because the mean of its divisors is an integer number (3879972648).

Almost surely, 2^100112103120 is an apocalyptic number.

100112103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112103120 is an abundant number, since it is smaller than the sum of its proper divisors (210285708720).

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

100112103120 is a wasteful number, since it uses less digits than its factorization.

100112103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67612 (or 67606 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100112103120 its reverse (21301211001), we get a palindrome (121413314121).

The spelling of 100112103120 in words is "one hundred billion, one hundred twelve million, one hundred three thousand, one hundred twenty".