111001000111001 has 96 divisors (see below), whose sum is σ = 158087482291200. Its totient is φ = 75629793571200.

The previous prime is 111001000110901. The next prime is 111001000111003. The reversal of 111001000111001 is 100111000100111.

It is not a de Polignac number, because 111001000111001 - 2²⁶ = 111000933002137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111001000111001.

It is not an unprimeable number, because it can be changed into a prime (111001000111003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2111101730 + ... + 2111154308.

It is an arithmetic number, because the mean of its divisors is an integer number (1646744607200).

Almost surely, 2^{111001000111001} is an apocalyptic number.

111001000111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001000111001 is a deficient number, since it is larger than the sum of its proper divisors (47086482180199).

111001000111001 is a wasteful number, since it uses less digits than its factorization.

111001000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62731 (or 62720 counting only the distinct ones).

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

Adding to 111001000111001 its reverse (100111000100111), we get a palindrome (211112000211112).

The spelling of 111001000111001 in words is "one hundred eleven trillion, one billion, one hundred eleven thousand, one".