101112200102112 has 96 divisors (see below), whose sum is σ = 274576576135680. Its totient is φ = 32541305986560.

The previous prime is 101112200102093. The next prime is 101112200102191. The reversal of 101112200102112 is 211201002211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101112200102091 and 101112200102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183756037 + ... + 184305467.

It is an arithmetic number, because the mean of its divisors is an integer number (2860172668080).

Almost surely, 2^{101112200102112} is an apocalyptic number.

101112200102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112200102112 is an abundant number, since it is smaller than the sum of its proper divisors (173464376033568).

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

101112200102112 is a wasteful number, since it uses less digits than its factorization.

101112200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615576 (or 615568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112200102112 its reverse (211201002211101), we get a palindrome (312313202313213).

The spelling of 101112200102112 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred two thousand, one hundred twelve".