101001000020112 has 60 divisors (see below), whose sum is σ = 289236067904784. Its totient is φ = 32884046516160.

The previous prime is 101001000020051. The next prime is 101001000020119. The reversal of 101001000020112 is 211020000100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001000020094 and 101001000020103.

It is not an unprimeable number, because it can be changed into a prime (101001000020119) 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, 8155759314 + ... + 8155771697.

Almost surely, 2^{101001000020112} is an apocalyptic number.

101001000020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001000020112 is an abundant number, since it is smaller than the sum of its proper divisors (188235067884672).

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

101001000020112 is a wasteful number, since it uses less digits than its factorization.

101001000020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311531068 (or 16311531059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001000020112 its reverse (211020000100101), we get a palindrome (312021000120213).

The spelling of 101001000020112 in words is "one hundred one trillion, one billion, twenty thousand, one hundred twelve".