100011000111111 has 24 divisors (see below), whose sum is σ = 154815304531680. Its totient is φ = 62051478325056.

The previous prime is 100011000111091. The next prime is 100011000111131. The reversal of 100011000111111 is 111111000110001.

It is an interprime number because it is at equal distance from previous prime (100011000111091) and next prime (100011000111131).

It is not a de Polignac number, because 100011000111111 - 2⁵ = 100011000111079 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100011000111093 and 100011000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6528977856 + ... + 6528993173.

It is an arithmetic number, because the mean of its divisors is an integer number (6450637688820).

Almost surely, 2^{100011000111111} is an apocalyptic number.

100011000111111 is a deficient number, since it is larger than the sum of its proper divisors (54804304420569).

100011000111111 is a wasteful number, since it uses less digits than its factorization.

100011000111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057971095 (or 13057971092 counting only the distinct ones).

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

Adding to 100011000111111 its reverse (111111000110001), we get a palindrome (211122000221112).

It can be divided in two parts, 1000110001 and 11111, that multiplied together give a palindrome (11112222221111).

The spelling of 100011000111111 in words is "one hundred trillion, eleven billion, one hundred eleven thousand, one hundred eleven".