110010001000110 has 128 divisors (see below), whose sum is σ = 270220178386944. Its totient is φ = 28656262932480.

The previous prime is 110010001000069. The next prime is 110010001000187. The reversal of 110010001000110 is 11000100010011.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128887567 + ... + 129738293.

It is an arithmetic number, because the mean of its divisors is an integer number (2111095143648).

Almost surely, 2^{110010001000110} is an apocalyptic number.

110010001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010001000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110089193472).

110010001000110 is an abundant number, since it is smaller than the sum of its proper divisors (160210177386834).

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

110010001000110 is a wasteful number, since it uses less digits than its factorization.

110010001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851378.

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

Adding to 110010001000110 its reverse (11000100010011), we get a palindrome (121010101010121).

Subtracting from 110010001000110 its reverse (11000100010011), we obtain a palindrome (99009900990099).

It can be divided in two parts, 1100100010001 and 10, that added together give a palindrome (1100100010011).

The spelling of 110010001000110 in words is "one hundred ten trillion, ten billion, one million, one hundred ten", and thus it is an aban number.