101011111112112 has 40 divisors (see below), whose sum is σ = 260946742230960. Its totient is φ = 33670193356800.

The previous prime is 101011111112077. The next prime is 101011111112173. The reversal of 101011111112112 is 211211111110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101011111112091 and 101011111112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3857964 + ... + 14727732.

It is an arithmetic number, because the mean of its divisors is an integer number (6523668555774).

Almost surely, 2^{101011111112112} is an apocalyptic number.

101011111112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011111112112 is an abundant number, since it is smaller than the sum of its proper divisors (159935631118848).

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

101011111112112 is a wasteful number, since it uses less digits than its factorization.

101011111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063381 (or 11063375 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101011111112112 its reverse (211211111110101), we get a palindrome (312222222222213).

The spelling of 101011111112112 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".