101012111210112 has 64 divisors (see below), whose sum is σ = 268314467273760. Its totient is φ = 33670572364800.

The previous prime is 101012111210083. The next prime is 101012111210141. The reversal of 101012111210112 is 211012111210101.

101012111210112 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101012111210083) and next prime (101012111210141).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101012111210112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012111210091 and 101012111210100.

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, 190218438 + ... + 190748730.

Almost surely, 2^{101012111210112} is an apocalyptic number.

101012111210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012111210112 is an abundant number, since it is smaller than the sum of its proper divisors (167302356063648).

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

101012111210112 is an equidigital number, since it uses as much as digits as its factorization.

101012111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026361 (or 1026349 counting only the distinct ones).

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

Adding to 101012111210112 its reverse (211012111210101), we get a palindrome (312024222420213).

The spelling of 101012111210112 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".