101112120011112 has 96 divisors (see below), whose sum is σ = 296798689473120. Its totient is φ = 28619184800640.

The previous prime is 101112120011059. The next prime is 101112120011197. The reversal of 101112120011112 is 211110021211101.

101112120011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101112120011091 and 101112120011100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401648439 + ... + 401900102.

It is an arithmetic number, because the mean of its divisors is an integer number (3091653015345).

Almost surely, 2^{101112120011112} is an apocalyptic number.

101112120011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112120011112 is an abundant number, since it is smaller than the sum of its proper divisors (195686569462008).

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

101112120011112 is a wasteful number, since it uses less digits than its factorization.

101112120011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803548671 (or 803548660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101112120011112 its reverse (211110021211101), we get a palindrome (312222141222213).

The spelling of 101112120011112 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twelve".