101010100101100 has 18 divisors (see below), whose sum is σ = 219191917219604. Its totient is φ = 40404040040400.

The previous prime is 101010100101089. The next prime is 101010100101149. The reversal of 101010100101100 is 1101001010101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505050500406 + ... + 505050500605.

Almost surely, 2^{101010100101100} is an apocalyptic number.

101010100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010100101100 is an abundant number, since it is smaller than the sum of its proper divisors (118181817118504).

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

101010100101100 is a wasteful number, since it uses less digits than its factorization.

101010100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010101001025 (or 1010101001018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101010100101100 its reverse (1101001010101), we get a palindrome (102111101111201).

Subtracting from 101010100101100 its reverse (1101001010101), we obtain a palindrome (99909099090999).

The spelling of 101010100101100 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, one hundred".