110000111101001 has 16 divisors (see below), whose sum is σ = 122189797074816. Its totient is φ = 99010000870000.

The previous prime is 110000111100973. The next prime is 110000111101061. The reversal of 110000111101001 is 100101111000011.

It is a de Polignac number, because none of the positive numbers 2^k-110000111101001 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 110000111101001.

It is not an unprimeable number, because it can be changed into a prime (110000111101061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408997805 + ... + 409266666.

It is an arithmetic number, because the mean of its divisors is an integer number (7636862317176).

Almost surely, 2^{110000111101001} is an apocalyptic number.

110000111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000111101001 is a deficient number, since it is larger than the sum of its proper divisors (12189685973815).

110000111101001 is an equidigital number, since it uses as much as digits as its factorization.

110000111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818264605 (or 818264583 counting only the distinct ones).

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

Adding to 110000111101001 its reverse (100101111000011), we get a palindrome (210101222101012).

The spelling of 110000111101001 in words is "one hundred ten trillion, one hundred eleven million, one hundred one thousand, one".