111102111120 has 1280 divisors, whose sum is σ = 492448481280. Its totient is φ = 19972915200.

The previous prime is 111102111101. The next prime is 111102111137. The reversal of 111102111120 is 21111201111.

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 = 111102111096 and 111102111105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 257777305 + ... + 257777735.

It is an arithmetic number, because the mean of its divisors is an integer number (384725376).

Almost surely, 2^111102111120 is an apocalyptic number.

111102111120 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 111102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246224240640).

111102111120 is an abundant number, since it is smaller than the sum of its proper divisors (381346370160).

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

111102111120 is a wasteful number, since it uses less digits than its factorization.

111102111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

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

Adding to 111102111120 its reverse (21111201111), we get a palindrome (132213312231).

It can be divided in two parts, 111102 and 111120, that added together give a palindrome (222222).

The spelling of 111102111120 in words is "one hundred eleven billion, one hundred two million, one hundred eleven thousand, one hundred twenty".