111100001100111 has 12 divisors (see below), whose sum is σ = 160477955103960. Its totient is φ = 74066586290640.

The previous prime is 111100001100083. The next prime is 111100001100133. The reversal of 111100001100111 is 111001100001111.

It is not a de Polignac number, because 111100001100111 - 2⁵ = 111100001100079 is a prime.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111100001100093 and 111100001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100001100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2597725 + ... + 15131033.

It is an arithmetic number, because the mean of its divisors is an integer number (13373162925330).

Almost surely, 2^{111100001100111} is an apocalyptic number.

111100001100111 is a deficient number, since it is larger than the sum of its proper divisors (49377954003849).

111100001100111 is a wasteful number, since it uses less digits than its factorization.

111100001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518246 (or 13518243 counting only the distinct ones).

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

Adding to 111100001100111 its reverse (111001100001111), we get a palindrome (222101101101222).

The spelling of 111100001100111 in words is "one hundred eleven trillion, one hundred billion, one million, one hundred thousand, one hundred eleven".