101112000120112 has 60 divisors (see below), whose sum is σ = 206766296734296. Its totient is φ = 47893221008640.

The previous prime is 101112000120107. The next prime is 101112000120119. The reversal of 101112000120112 is 211021000211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112000120092 and 101112000120101.

It is not an unprimeable number, because it can be changed into a prime (101112000120119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147853687 + ... + 148535977.

Almost surely, 2^{101112000120112} is an apocalyptic number.

It is an amenable number.

101112000120112 is an abundant number, since it is smaller than the sum of its proper divisors (105654296614184).

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

101112000120112 is a wasteful number, since it uses less digits than its factorization.

101112000120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707994 (or 707969 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112000120112 its reverse (211021000211101), we get a palindrome (312133000331213).

The spelling of 101112000120112 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty thousand, one hundred twelve".