110110100101001 has 48 divisors (see below), whose sum is σ = 150434989764864. Its totient is φ = 78415912080000.

The previous prime is 110110100100947. The next prime is 110110100101031. The reversal of 110110100101001 is 100101001011011.

It is not a de Polignac number, because 110110100101001 - 2³⁸ = 109835222194057 is a prime.

110110100101001 is a modest number, since divided by 100101001 gives 11011 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 110110100101001.

It is not an unprimeable number, because it can be changed into a prime (110110100101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48392885 + ... + 50617106.

It is an arithmetic number, because the mean of its divisors is an integer number (3134062286768).

Almost surely, 2^{110110100101001} is an apocalyptic number.

110110100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110100101001 is a deficient number, since it is larger than the sum of its proper divisors (40324889663863).

110110100101001 is a wasteful number, since it uses less digits than its factorization.

110110100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99010134 (or 99010123 counting only the distinct ones).

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

Adding to 110110100101001 its reverse (100101001011011), we get a palindrome (210211101112012).

It can be divided in two parts, 11011010010 and 1001, that added together give a palindrome (11011011011).

The spelling of 110110100101001 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred one thousand, one".