110101101100110 has 48 divisors (see below), whose sum is σ = 303101854797456. Its totient is φ = 27633217530624.

The previous prime is 110101101100099. The next prime is 110101101100153. The reversal of 110101101100110 is 11001101101011.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110101101100092 and 110101101100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35980750464 + ... + 35980753523.

It is an arithmetic number, because the mean of its divisors is an integer number (6314621974947).

Almost surely, 2^{110101101100110} is an apocalyptic number.

110101101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110101101100110 is an abundant number, since it is smaller than the sum of its proper divisors (193000753697346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101101100110 is a wasteful number, since it uses less digits than its factorization.

110101101100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71961504017 (or 71961504014 counting only the distinct ones).

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

Adding to 110101101100110 its reverse (11001101101011), we get a palindrome (121102202201121).

Subtracting from 110101101100110 its reverse (11001101101011), we obtain a palindrome (99099999999099).

The spelling of 110101101100110 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred ten".