100111012112 has 20 divisors (see below), whose sum is σ = 193992053580. Its totient is φ = 50048546688.

The previous prime is 100111012109. The next prime is 100111012121. The reversal of 100111012112 is 211210111001.

It can be written as a sum of positive squares in 2 ways, for example, as 26472591616 + 73638420496 = 162704^2 + 271364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100111012093 and 100111012102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315287 + ... + 547382.

It is an arithmetic number, because the mean of its divisors is an integer number (9699602679).

Almost surely, 2^100111012112 is an apocalyptic number.

It is an amenable number.

100111012112 is a deficient number, since it is larger than the sum of its proper divisors (93881041468).

100111012112 is an equidigital number, since it uses as much as digits as its factorization.

100111012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869930 (or 869924 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111012112 its reverse (211210111001), we get a palindrome (311321123113).

The spelling of 100111012112 in words is "one hundred billion, one hundred eleven million, twelve thousand, one hundred twelve".