110111000110110 has 48 divisors (see below), whose sum is σ = 286311486165120. Its totient is φ = 29360586093120.

The previous prime is 110111000110087. The next prime is 110111000110193. The reversal of 110111000110110 is 11011000111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110111000110092 and 110111000110101.

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 23 ways as a sum of consecutive naturals, for example, 47769205 + ... + 50021184.

It is an arithmetic number, because the mean of its divisors is an integer number (5964822628440).

Almost surely, 2^{110111000110110} is an apocalyptic number.

110111000110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110111000110110 is an abundant number, since it is smaller than the sum of its proper divisors (176200486055010).

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

110111000110110 is a wasteful number, since it uses less digits than its factorization.

110111000110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97802913 (or 97802910 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110111000110110 its reverse (11011000111011), we get a palindrome (121122000221121).

Subtracting from 110111000110110 its reverse (11011000111011), we obtain a palindrome (99099999999099).

The spelling of 110111000110110 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten thousand, one hundred ten".