101001000100110 has 128 divisors (see below), whose sum is σ = 264584859678720. Its totient is φ = 24471587712000.

The previous prime is 101001000100093. The next prime is 101001000100151. The reversal of 101001000100110 is 11001000100101.

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 63 ways as a sum of consecutive naturals, for example, 6864738114 + ... + 6864752826.

It is an arithmetic number, because the mean of its divisors is an integer number (2067069216240).

Almost surely, 2^{101001000100110} is an apocalyptic number.

101001000100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001000100110 is an abundant number, since it is smaller than the sum of its proper divisors (163583859578610).

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

101001000100110 is a wasteful number, since it uses less digits than its factorization.

101001000100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794.

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

Adding to 101001000100110 its reverse (11001000100101), we get a palindrome (112002000200211).

Subtracting from 101001000100110 its reverse (11001000100101), we obtain a palindrome (90000000000009).

The spelling of 101001000100110 in words is "one hundred one trillion, one billion, one hundred thousand, one hundred ten".