110111100011001 has 24 divisors (see below), whose sum is σ = 163631097283784. Its totient is φ = 71299632015360.

The previous prime is 110111100010987. The next prime is 110111100011021. The reversal of 110111100011001 is 100110001111011.

It can be written as a sum of positive squares in 4 ways, for example, as 77029058624400 + 33082041386601 = 8776620^2 + 5751699^2 .

It is not a de Polignac number, because 110111100011001 - 2⁹ = 110111100010489 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110111100011021) 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 23 ways as a sum of consecutive naturals, for example, 286345090 + ... + 286729371.

Almost surely, 2^{110111100011001} is an apocalyptic number.

It is an amenable number.

110111100011001 is a deficient number, since it is larger than the sum of its proper divisors (53519997272783).

110111100011001 is a wasteful number, since it uses less digits than its factorization.

110111100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573075081 (or 573075078 counting only the distinct ones).

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

Adding to 110111100011001 its reverse (100110001111011), we get a palindrome (210221101122012).

The spelling of 110111100011001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred million, eleven thousand, one".