101210101010112 has 112 divisors (see below), whose sum is σ = 286289909747712. Its totient is φ = 31443914772480.

The previous prime is 101210101010093. The next prime is 101210101010131. The reversal of 101210101010112 is 211010101012101.

It is an interprime number because it is at equal distance from previous prime (101210101010093) and next prime (101210101010131).

It is a super-3 number, since 3×101210101010112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 150188064 + ... + 150860447.

Almost surely, 2^{101210101010112} is an apocalyptic number.

101210101010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210101010112 is an abundant number, since it is smaller than the sum of its proper divisors (185079808737600).

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

101210101010112 is a wasteful number, since it uses less digits than its factorization.

101210101010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301048646 (or 301048636 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101210101010112 its reverse (211010101012101), we get a palindrome (312220202022213).

The spelling of 101210101010112 in words is "one hundred one trillion, two hundred ten billion, one hundred one million, ten thousand, one hundred twelve".