101100100120110 has 288 divisors, whose sum is σ = 335510638837920. Its totient is φ = 20928537616896.

The previous prime is 101100100120081. The next prime is 101100100120183. The reversal of 101100100120110 is 11021001001101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100100120092 and 101100100120101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13598080 + ... + 19675059.

It is an arithmetic number, because the mean of its divisors is an integer number (1164967495965).

Almost surely, 2^{101100100120110} is an apocalyptic number.

101100100120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100100120110 is an abundant number, since it is smaller than the sum of its proper divisors (234410538717810).

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

101100100120110 is a wasteful number, since it uses less digits than its factorization.

101100100120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33273232 (or 33273222 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100100120110 its reverse (11021001001101), we get a palindrome (112121101121211).

The spelling of 101100100120110 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred twenty thousand, one hundred ten".