1011009110111 has 96 divisors (see below), whose sum is σ = 1417195906560. Its totient is φ = 701361872640.

The previous prime is 1011009110093. The next prime is 1011009110123. The reversal of 1011009110111 is 1110119001101.

It is not a de Polignac number, because 1011009110111 - 2⁶ = 1011009110047 is a prime.

It is a super-2 number, since 2×1011009110111² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011009110111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011009110141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34416716 + ... + 34446078.

It is an arithmetic number, because the mean of its divisors is an integer number (14762457360).

Almost surely, 2^{1011009110111} is an apocalyptic number.

1011009110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011009110111 is a deficient number, since it is larger than the sum of its proper divisors (406186796449).

1011009110111 is a wasteful number, since it uses less digits than its factorization.

1011009110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29517 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 1011009110111 in words is "one trillion, eleven billion, nine million, one hundred ten thousand, one hundred eleven".