111001101000111 has 48 divisors (see below), whose sum is σ = 191298348605280. Its totient is φ = 63427896080640.

The previous prime is 111001101000109. The next prime is 111001101000149. The reversal of 111001101000111 is 111000101100111.

It is not a de Polignac number, because 111001101000111 - 2¹ = 111001101000109 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 = 111001101000093 and 111001101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001101000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65414151 + ... + 67089591.

It is an arithmetic number, because the mean of its divisors is an integer number (3985382262610).

Almost surely, 2^{111001101000111} is an apocalyptic number.

111001101000111 is a deficient number, since it is larger than the sum of its proper divisors (80297247605169).

111001101000111 is a wasteful number, since it uses less digits than its factorization.

111001101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725541 (or 1725528 counting only the distinct ones).

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

Adding to 111001101000111 its reverse (111000101100111), we get a palindrome (222001202100222).

The spelling of 111001101000111 in words is "one hundred eleven trillion, one billion, one hundred one million, one hundred eleven", and thus it is an aban number.