111111102120 has 128 divisors (see below), whose sum is σ = 342766627200. Its totient is φ = 28793097216.

The previous prime is 111111102119. The next prime is 111111102143. The reversal of 111111102120 is 21201111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111111102096 and 111111102105.

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 31 ways as a sum of consecutive naturals, for example, 3665667 + ... + 3695853.

It is an arithmetic number, because the mean of its divisors is an integer number (2677864275).

Almost surely, 2^111111102120 is an apocalyptic number.

111111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111111102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171383313600).

111111102120 is an abundant number, since it is smaller than the sum of its proper divisors (231655525080).

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

111111102120 is a wasteful number, since it uses less digits than its factorization.

111111102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111111102120 its reverse (21201111111), we get a palindrome (132312213231).

The spelling of 111111102120 in words is "one hundred eleven billion, one hundred eleven million, one hundred two thousand, one hundred twenty".