110110110122164 has 96 divisors (see below), whose sum is σ = 209894456169216. Its totient is φ = 50399549291520.

The previous prime is 110110110122161. The next prime is 110110110122167. The reversal of 110110110122164 is 461221011011011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110110110122161) and next prime (110110110122167).

It is a super-2 number, since 2×110110110122164² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110110122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364786194 + ... + 1364866870.

It is an arithmetic number, because the mean of its divisors is an integer number (2186400585096).

Almost surely, 2^{110110110122164} is an apocalyptic number.

It is an amenable number.

110110110122164 is a deficient number, since it is larger than the sum of its proper divisors (99784346047052).

110110110122164 is a wasteful number, since it uses less digits than its factorization.

110110110122164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87625 (or 87623 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 110110110122164 its reverse (461221011011011), we get a palindrome (571331121133175).

The spelling of 110110110122164 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred twenty-two thousand, one hundred sixty-four".