111111000100110 has 128 divisors (see below), whose sum is σ = 311936216486400. Its totient is φ = 28066035306240.

The previous prime is 111111000100097. The next prime is 111111000100117. The reversal of 111111000100110 is 11001000111111.

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 = 111111000100092 and 111111000100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111000100117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33511297 + ... + 36677363.

It is an arithmetic number, because the mean of its divisors is an integer number (2437001691300).

Almost surely, 2^{111111000100110} is an apocalyptic number.

111111000100110 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 111111000100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155968108243200).

111111000100110 is an abundant number, since it is smaller than the sum of its proper divisors (200825216386290).

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

111111000100110 is a wasteful number, since it uses less digits than its factorization.

111111000100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172943 (or 3172937 counting only the distinct ones).

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

Adding to 111111000100110 its reverse (11001000111111), we get a palindrome (122112000211221).

The spelling of 111111000100110 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred thousand, one hundred ten".