10100111012112 has 80 divisors (see below), whose sum is σ = 29001004941888. Its totient is φ = 3002891773440.

The previous prime is 10100111012087. The next prime is 10100111012141. The reversal of 10100111012112 is 21121011100101.

It is a super-4 number, since 4×10100111012112⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180434263 + ... + 180490230.

Almost surely, 2^{10100111012112} is an apocalyptic number.

10100111012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100111012112 is an abundant number, since it is smaller than the sum of its proper divisors (18900893929776).

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

10100111012112 is a wasteful number, since it uses less digits than its factorization.

10100111012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360924568 (or 360924562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100111012112 its reverse (21121011100101), we get a palindrome (31221122112213).

The spelling of 10100111012112 in words is "ten trillion, one hundred billion, one hundred eleven million, twelve thousand, one hundred twelve".