101112111020112 has 40 divisors (see below), whose sum is σ = 261207649807104. Its totient is φ = 33703861135104.

The previous prime is 101112111020087. The next prime is 101112111020131. The reversal of 101112111020112 is 211020111211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112111020091 and 101112111020100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3966508 + ... + 14763380.

Almost surely, 2^{101112111020112} is an apocalyptic number.

101112111020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112111020112 is an abundant number, since it is smaller than the sum of its proper divisors (160095538786992).

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

101112111020112 is a wasteful number, since it uses less digits than its factorization.

101112111020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10991987 (or 10991981 counting only the distinct ones).

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

Adding to 101112111020112 its reverse (211020111211101), we get a palindrome (312132222231213).

The spelling of 101112111020112 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, twenty thousand, one hundred twelve".