111000111100110 has 256 divisors, whose sum is σ = 302369847091200. Its totient is φ = 28966084213248.

The previous prime is 111000111100079. The next prime is 111000111100117. The reversal of 111000111100110 is 11001111000111.

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 = 111000111100092 and 111000111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000111100117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9069371371 + ... + 9069383609.

It is an arithmetic number, because the mean of its divisors is an integer number (1181132215200).

Almost surely, 2^{111000111100110} is an apocalyptic number.

111000111100110 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 111000111100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151184923545600).

111000111100110 is an abundant number, since it is smaller than the sum of its proper divisors (191369735991090).

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

111000111100110 is a wasteful number, since it uses less digits than its factorization.

111000111100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904 (or 13898 counting only the distinct ones).

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

Adding to 111000111100110 its reverse (11001111000111), we get a palindrome (122001222100221).

Subtracting from 111000111100110 its reverse (11001111000111), we obtain a palindrome (99999000099999).

The spelling of 111000111100110 in words is "one hundred eleven trillion, one hundred eleven million, one hundred thousand, one hundred ten".