111110111001 has 72 divisors (see below), whose sum is σ = 174899741640. Its totient is φ = 67910234112.

The previous prime is 111110110981. The next prime is 111110111027. The reversal of 111110111001 is 100111011111.

It can be written as a sum of positive squares in 4 ways, for example, as 5550101001 + 105560010000 = 74499^2 + 324900^2 .

It is not a de Polignac number, because 111110111001 - 2¹³ = 111110102809 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111110111041) 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, 23198715 + ... + 23203503.

Almost surely, 2^111110111001 is an apocalyptic number.

It is an amenable number.

111110111001 is a deficient number, since it is larger than the sum of its proper divisors (63789630639).

111110111001 is a wasteful number, since it uses less digits than its factorization.

111110111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5041 counting only the distinct ones).

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

Adding to 111110111001 its reverse (100111011111), we get a palindrome (211221122112).

It can be divided in two parts, 111110 and 111001, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 111110111001 in words is "one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one".