101010010121112 has 32 divisors (see below), whose sum is σ = 252525484280880. Its totient is φ = 33669942176640.

The previous prime is 101010010121107. The next prime is 101010010121147. The reversal of 101010010121112 is 211121010010101.

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

It is a congruent number.

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, 10795338 + ... + 17848230.

Almost surely, 2^{101010010121112} is an apocalyptic number.

101010010121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010010121112 is an abundant number, since it is smaller than the sum of its proper divisors (151515474159768).

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

101010010121112 is a wasteful number, since it uses less digits than its factorization.

101010010121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649643 (or 7649639 counting only the distinct ones).

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

Adding to 101010010121112 its reverse (211121010010101), we get a palindrome (312131020131213).

The spelling of 101010010121112 in words is "one hundred one trillion, ten billion, ten million, one hundred twenty-one thousand, one hundred twelve".