101100100000110 has 32 divisors (see below), whose sum is σ = 245042618621472. Its totient is φ = 26693095708800.

The previous prime is 101100100000063. The next prime is 101100100000111. The reversal of 101100100000110 is 11000001001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16683181789 + ... + 16683187848.

It is an arithmetic number, because the mean of its divisors is an integer number (7657581831921).

Almost surely, 2^{101100100000110} is an apocalyptic number.

101100100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100100000110 is an abundant number, since it is smaller than the sum of its proper divisors (143942518621362).

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

101100100000110 is a wasteful number, since it uses less digits than its factorization.

101100100000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33366369748.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100100000110 its reverse (11000001001101), we get a palindrome (112100101001211).

The spelling of 101100100000110 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred ten", and thus it is an aban number.