100101100000110 has 64 divisors (see below), whose sum is σ = 262086854238720. Its totient is φ = 24266565348480.

The previous prime is 100101100000093. The next prime is 100101100000123. The reversal of 100101100000110 is 11000001101001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19816824 + ... + 24349716.

It is an arithmetic number, because the mean of its divisors is an integer number (4095107097480).

Almost surely, 2^{100101100000110} is an apocalyptic number.

100101100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101100000110 is an abundant number, since it is smaller than the sum of its proper divisors (161985754238610).

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

100101100000110 is a wasteful number, since it uses less digits than its factorization.

100101100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599833.

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

Adding to 100101100000110 its reverse (11000001101001), we get a palindrome (111101101101111).

The spelling of 100101100000110 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred ten", and thus it is an aban number.