1011009110112 has 120 divisors (see below), whose sum is σ = 2973652045056. Its totient is φ = 336968771328.

The previous prime is 1011009110093. The next prime is 1011009110123. The reversal of 1011009110112 is 2110119001101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46767018 + ... + 46788630.

Almost surely, 2^{1011009110112} is an apocalyptic number.

1011009110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011009110112 is an abundant number, since it is smaller than the sum of its proper divisors (1962642934944).

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

1011009110112 is a wasteful number, since it uses less digits than its factorization.

1011009110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39682 (or 39665 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 1011009110112 in words is "one trillion, eleven billion, nine million, one hundred ten thousand, one hundred twelve".