111000011100111 has 72 divisors (see below), whose sum is σ = 194903595776864. Its totient is φ = 59586211802880.

The previous prime is 111000011100091. The next prime is 111000011100221. The reversal of 111000011100111 is 111001110000111.

It is not a de Polignac number, because 111000011100111 - 2⁵ = 111000011100079 is a prime.

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

It is a Duffinian number.

111000011100111 is a modest number, since divided by 11100111 gives 11100 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111000011100093 and 111000011100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000011102111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26350600 + ... + 30271341.

Almost surely, 2^{111000011100111} is an apocalyptic number.

111000011100111 is a deficient number, since it is larger than the sum of its proper divisors (83903584676753).

111000011100111 is a wasteful number, since it uses less digits than its factorization.

111000011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622049 (or 56622017 counting only the distinct ones).

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

Adding to 111000011100111 its reverse (111001110000111), we get a palindrome (222001121100222).

The spelling of 111000011100111 in words is "one hundred eleven trillion, eleven million, one hundred thousand, one hundred eleven".