110110110101001 has 48 divisors (see below), whose sum is σ = 168917309520960. Its totient is φ = 71638887620160.

The previous prime is 110110110100997. The next prime is 110110110101023. The reversal of 110110110101001 is 100101011011011.

It is not a de Polignac number, because 110110110101001 - 2² = 110110110100997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (110110110101501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7878855 + ... + 16801683.

It is an arithmetic number, because the mean of its divisors is an integer number (3519110615020).

Almost surely, 2^{110110110101001} is an apocalyptic number.

It is an amenable number.

110110110101001 is a deficient number, since it is larger than the sum of its proper divisors (58807199419959).

110110110101001 is an equidigital number, since it uses as much as digits as its factorization.

110110110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924068 (or 8924056 counting only the distinct ones).

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

Adding to 110110110101001 its reverse (100101011011011), we get a palindrome (210211121112012).

The spelling of 110110110101001 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one".