110100101001106 has 64 divisors (see below), whose sum is σ = 174617519763456. Its totient is φ = 51983030836800.

The previous prime is 110100101001097. The next prime is 110100101001227. The reversal of 110100101001106 is 601100101001011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16454951221 + ... + 16454957911.

It is an arithmetic number, because the mean of its divisors is an integer number (2728398746304).

Almost surely, 2^{110100101001106} is an apocalyptic number.

110100101001106 is a deficient number, since it is larger than the sum of its proper divisors (64517418762350).

110100101001106 is a wasteful number, since it uses less digits than its factorization.

110100101001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110100101001106 its reverse (601100101001011), we get a palindrome (711200202002117).

The spelling of 110100101001106 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one thousand, one hundred six".