100000110000110 has 64 divisors (see below), whose sum is σ = 189965434014720. Its totient is φ = 37826397100800.

The previous prime is 100000110000079. The next prime is 100000110000149. The reversal of 100000110000110 is 11000011000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

100000110000110 is a modest number, since divided by 110000110 gives 100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100000110000094 and 100000110000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10725881 + ... + 17749499.

It is an arithmetic number, because the mean of its divisors is an integer number (2968209906480).

Almost surely, 2^{100000110000110} is an apocalyptic number.

100000110000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000110000110 is a deficient number, since it is larger than the sum of its proper divisors (89965324014610).

100000110000110 is a wasteful number, since it uses less digits than its factorization.

100000110000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024353.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000110000110 its reverse (11000011000001), we get a palindrome (111000121000111).

The spelling of 100000110000110 in words is "one hundred trillion, one hundred ten million, one hundred ten", and thus it is an aban number.