101012000112 has 60 divisors (see below), whose sum is σ = 282728857320. Its totient is φ = 33666432384.

The previous prime is 101012000107. The next prime is 101012000123. The reversal of 101012000112 is 211000210101.

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 = 101012000094 and 101012000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1232839 + ... + 1312217.

It is an arithmetic number, because the mean of its divisors is an integer number (4712147622).

Almost surely, 2^101012000112 is an apocalyptic number.

101012000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012000112 is an abundant number, since it is smaller than the sum of its proper divisors (181716857208).

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

101012000112 is a wasteful number, since it uses less digits than its factorization.

101012000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88230 (or 88221 counting only the distinct ones).

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

Adding to 101012000112 its reverse (211000210101), we get a palindrome (312012210213).

The spelling of 101012000112 in words is "one hundred one billion, twelve million, one hundred twelve", and thus it is an aban number.