110000110110001 has 32 divisors (see below), whose sum is σ = 117966884136192. Its totient is φ = 102206905497600.

The previous prime is 110000110109977. The next prime is 110000110110029. The reversal of 110000110110001 is 100011011000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110000110110001 - 2⁵ = 110000110109969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000110110301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608832660 + ... + 609013306.

It is an arithmetic number, because the mean of its divisors is an integer number (3686465129256).

Almost surely, 2^{110000110110001} is an apocalyptic number.

It is an amenable number.

110000110110001 is a deficient number, since it is larger than the sum of its proper divisors (7966774026191).

110000110110001 is a wasteful number, since it uses less digits than its factorization.

110000110110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181929.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110000110110001 its reverse (100011011000011), we get a palindrome (210011121110012).

The spelling of 110000110110001 in words is "one hundred ten trillion, one hundred ten million, one hundred ten thousand, one".