100012120112 has 40 divisors (see below), whose sum is σ = 194924510640. Its totient is φ = 49709219840.

The previous prime is 100012120097. The next prime is 100012120151. The reversal of 100012120112 is 211021210001.

It is a super-2 number, since 2×100012120112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012120093 and 100012120102.

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, 12829688 + ... + 12837480.

It is an arithmetic number, because the mean of its divisors is an integer number (4873112766).

Almost surely, 2^100012120112 is an apocalyptic number.

It is an amenable number.

100012120112 is a deficient number, since it is larger than the sum of its proper divisors (94912390528).

100012120112 is a wasteful number, since it uses less digits than its factorization.

100012120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012120112 its reverse (211021210001), we get a palindrome (311033330113).

The spelling of 100012120112 in words is "one hundred billion, twelve million, one hundred twenty thousand, one hundred twelve".