111001111001001 has 12 divisors (see below), whose sum is σ = 172668394890628. Its totient is φ = 68308376000544.

The previous prime is 111001111000973. The next prime is 111001111001003. The reversal of 111001111001001 is 100100111100111.

It can be written as a sum of positive squares in 2 ways, for example, as 33454066034601 + 77547044966400 = 5783949^2 + 8806080^2 .

It is not a de Polignac number, because 111001111001001 - 2¹⁸ = 111001110738857 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 (111001111001003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474363722110 + ... + 474363722343.

Almost surely, 2^{111001111001001} is an apocalyptic number.

It is an amenable number.

111001111001001 is a deficient number, since it is larger than the sum of its proper divisors (61667283889627).

111001111001001 is a wasteful number, since it uses less digits than its factorization.

111001111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948727444472 (or 948727444469 counting only the distinct ones).

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

Adding to 111001111001001 its reverse (100100111100111), we get a palindrome (211101222101112).

It can be divided in two parts, 11100111 and 1001001, that multiplied together give a palindrome (11111222211111).

The spelling of 111001111001001 in words is "one hundred eleven trillion, one billion, one hundred eleven million, one thousand, one".