110110010101101 has 16 divisors (see below), whose sum is σ = 163126306457920. Its totient is φ = 73406508895440.

The previous prime is 110110010101043. The next prime is 110110010101109. The reversal of 110110010101101 is 101101010011011.

It is not a de Polignac number, because 110110010101101 - 2⁹ = 110110010100589 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110010101109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8367591 + ... + 17036331.

It is an arithmetic number, because the mean of its divisors is an integer number (10195394153620).

Almost surely, 2^{110110010101101} is an apocalyptic number.

It is an amenable number.

110110010101101 is a deficient number, since it is larger than the sum of its proper divisors (53016296356819).

110110010101101 is an equidigital number, since it uses as much as digits as its factorization.

110110010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139193 (or 9139187 counting only the distinct ones).

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

Adding to 110110010101101 its reverse (101101010011011), we get a palindrome (211211020112112).

The spelling of 110110010101101 in words is "one hundred ten trillion, one hundred ten billion, ten million, one hundred one thousand, one hundred one".