100013220112 has 160 divisors (see below), whose sum is σ = 223985664000. Its totient is φ = 42922414080.

The previous prime is 100013220101. The next prime is 100013220161. The reversal of 100013220112 is 211022310001.

It is a super-2 number, since 2×100013220112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100013220092 and 100013220101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19535089 + ... + 19540207.

It is an arithmetic number, because the mean of its divisors is an integer number (1399910400).

Almost surely, 2^100013220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832000).

100013220112 is an abundant number, since it is smaller than the sum of its proper divisors (123972443888).

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

100013220112 is a wasteful number, since it uses less digits than its factorization.

100013220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100013220112 its reverse (211022310001), we get a palindrome (311035530113).

The spelling of 100013220112 in words is "one hundred billion, thirteen million, two hundred twenty thousand, one hundred twelve".