101111010020112 has 40 divisors (see below), whose sum is σ = 262646555516800. Its totient is φ = 33517461882240.

The previous prime is 101111010020087. The next prime is 101111010020123. The reversal of 101111010020112 is 211020010111101.

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

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, 5818995112 + ... + 5819012487.

It is an arithmetic number, because the mean of its divisors is an integer number (6566163887920).

Almost surely, 2^{101111010020112} is an apocalyptic number.

101111010020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111010020112 is an abundant number, since it is smaller than the sum of its proper divisors (161535545496688).

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

101111010020112 is a wasteful number, since it uses less digits than its factorization.

101111010020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638007791 (or 11638007785 counting only the distinct ones).

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

Adding to 101111010020112 its reverse (211020010111101), we get a palindrome (312131020131213).

The spelling of 101111010020112 in words is "one hundred one trillion, one hundred eleven billion, ten million, twenty thousand, one hundred twelve".