10111000111101 has 192 divisors, whose sum is σ = 15777768464640. Its totient is φ = 6230837882880.

The previous prime is 10111000111033. The next prime is 10111000111139. The reversal of 10111000111101 is 10111100011101.

It is not a de Polignac number, because 10111000111101 - 2¹¹ = 10111000109053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000111171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18689463891 + ... + 18689464431.

It is an arithmetic number, because the mean of its divisors is an integer number (82175877420).

Almost surely, 2^{10111000111101} is an apocalyptic number.

It is an amenable number.

10111000111101 is a deficient number, since it is larger than the sum of its proper divisors (5666768353539).

10111000111101 is a wasteful number, since it uses less digits than its factorization.

10111000111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111000111101 its reverse (10111100011101), we get a palindrome (20222100122202).

The spelling of 10111000111101 in words is "ten trillion, one hundred eleven billion, one hundred eleven thousand, one hundred one".