111111100000110 has 480 divisors, whose sum is σ = 376545097288800. Its totient is φ = 23347004792832.

The previous prime is 111111100000099. The next prime is 111111100000123. The reversal of 111111100000110 is 11000001111111.

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 = 111111100000092 and 111111100000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27098566 + ... + 30928214.

It is an arithmetic number, because the mean of its divisors is an integer number (784468952685).

Almost surely, 2^{111111100000110} is an apocalyptic number.

111111100000110 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 111111100000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188272548644400).

111111100000110 is an abundant number, since it is smaller than the sum of its proper divisors (265433997288690).

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

111111100000110 is a wasteful number, since it uses less digits than its factorization.

111111100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829742 (or 3829726 counting only the distinct ones).

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

Adding to 111111100000110 its reverse (11000001111111), we get a palindrome (122111101111221).

The spelling of 111111100000110 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one hundred ten", and thus it is an aban number.