110111111011001 has 4 divisors (see below), whose sum is σ = 110112810767232. Its totient is φ = 110109411254772.

The previous prime is 110111111010959. The next prime is 110111111011043. The reversal of 110111111011001 is 100110111111011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (110111111010959) and next prime (110111111011043).

It is a cyclic number.

It is not a de Polignac number, because 110111111011001 - 2¹⁸ = 110111110748857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111111091001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849780941 + ... + 849910506.

It is an arithmetic number, because the mean of its divisors is an integer number (27528202691808).

Almost surely, 2^{110111111011001} is an apocalyptic number.

It is an amenable number.

110111111011001 is a deficient number, since it is larger than the sum of its proper divisors (1699756231).

110111111011001 is an equidigital number, since it uses as much as digits as its factorization.

110111111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699756230.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110111111011001 its reverse (100110111111011), we get a palindrome (210221222122012).

The spelling of 110111111011001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, one".