100012100112 has 40 divisors (see below), whose sum is σ = 287071770080. Its totient is φ = 33337366560.

The previous prime is 100012100093. The next prime is 100012100143. The reversal of 100012100112 is 211001210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012100094 and 100012100103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115754314 + ... + 115755177.

It is an arithmetic number, because the mean of its divisors is an integer number (7176794252).

Almost surely, 2^100012100112 is an apocalyptic number.

100012100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012100112 is an abundant number, since it is smaller than the sum of its proper divisors (187059669968).

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

100012100112 is a wasteful number, since it uses less digits than its factorization.

100012100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231509508 (or 231509496 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012100112 its reverse (211001210001), we get a palindrome (311013310113).

The spelling of 100012100112 in words is "one hundred billion, twelve million, one hundred thousand, one hundred twelve".