100022112112 has 20 divisors (see below), whose sum is σ = 208699984360. Its totient is φ = 46164051648.

The previous prime is 100022112037. The next prime is 100022112119. The reversal of 100022112112 is 211211220001.

It is a super-2 number, since 2×100022112112² (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 = 100022112092 and 100022112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022112119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240437562 + ... + 240437977.

It is an arithmetic number, because the mean of its divisors is an integer number (10434999218).

Almost surely, 2^100022112112 is an apocalyptic number.

It is an amenable number.

100022112112 is an abundant number, since it is smaller than the sum of its proper divisors (108677872248).

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

100022112112 is a wasteful number, since it uses less digits than its factorization.

100022112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480875560 (or 480875554 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100022112112 its reverse (211211220001), we get a palindrome (311233332113).

The spelling of 100022112112 in words is "one hundred billion, twenty-two million, one hundred twelve thousand, one hundred twelve".