111001111001 has 16 divisors (see below), whose sum is σ = 122315524416. Its totient is φ = 99891000000.

The previous prime is 111001110977. The next prime is 111001111099. The reversal of 111001111001 is 100111100111.

It is a de Polignac number, because none of the positive numbers 2^k-111001111001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111001111001.

It is not an unprimeable number, because it can be changed into a prime (111001111301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10994966 + ... + 11005056.

It is an arithmetic number, because the mean of its divisors is an integer number (7644720276).

Almost surely, 2^111001111001 is an apocalyptic number.

111001111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001111001 is a deficient number, since it is larger than the sum of its proper divisors (11314413415).

111001111001 is a wasteful number, since it uses less digits than its factorization.

111001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111001111001 its reverse (100111100111), we get a palindrome (211112211112).

It can be divided in two parts, 11100111 and 1001, that multiplied together give a palindrome (11111211111).

The spelling of 111001111001 in words is "one hundred eleven billion, one million, one hundred eleven thousand, one".