110110110001001 has 16 divisors (see below), whose sum is σ = 120836804711040. Its totient is φ = 99503762897280.

The previous prime is 110110110000991. The next prime is 110110110001007. The reversal of 110110110001001 is 100100011011011.

It is a cyclic number.

It is not a de Polignac number, because 110110110001001 - 2¹⁴ = 110110109984617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110110001001.

It is not an unprimeable number, because it can be changed into a prime (110110110001007) 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, 20056661 + ... + 24949746.

It is an arithmetic number, because the mean of its divisors is an integer number (7552300294440).

Almost surely, 2^{110110110001001} is an apocalyptic number.

110110110001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110110001001 is a deficient number, since it is larger than the sum of its proper divisors (10726694710039).

110110110001001 is a wasteful number, since it uses less digits than its factorization.

110110110001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45007744.

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

Adding to 110110110001001 its reverse (100100011011011), we get a palindrome (210210121012012).

The spelling of 110110110001001 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one thousand, one".