811111101111117 has 12 divisors (see below), whose sum is σ = 1184769024096060. Its totient is φ = 534664995488448.

The previous prime is 811111101111029. The next prime is 811111101111119. The reversal of 811111101111117 is 711111101111118.

It can be written as a sum of positive squares in 2 ways, for example, as 494434092543876 + 316677008567241 = 22235874^2 + 17795421^2 .

It is not a de Polignac number, because 811111101111117 - 2³⁵ = 811076741372749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811111101111119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506311547958 + ... + 506311549559.

It is an arithmetic number, because the mean of its divisors is an integer number (98730752008005).

Almost surely, 2^{811111101111117} is an apocalyptic number.

It is an amenable number.

811111101111117 is a deficient number, since it is larger than the sum of its proper divisors (373657922984943).

811111101111117 is a wasteful number, since it uses less digits than its factorization.

811111101111117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012623097612 (or 1012623097609 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 27.

Subtracting from 811111101111117 its reverse (711111101111118), we obtain a palindrome (99999999999999).

The spelling of 811111101111117 in words is "eight hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred seventeen".