1102110111120 has 160 divisors (see below), whose sum is σ = 3509513055360. Its totient is φ = 285901332480.

The previous prime is 1102110111107. The next prime is 1102110111191. The reversal of 1102110111120 is 211110112011.

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 = 1102110111096 and 1102110111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90028200 + ... + 90040440.

It is an arithmetic number, because the mean of its divisors is an integer number (21934456596).

Almost surely, 2^{1102110111120} is an apocalyptic number.

1102110111120 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 1102110111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754756527680).

1102110111120 is an abundant number, since it is smaller than the sum of its proper divisors (2407402944240).

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

1102110111120 is a wasteful number, since it uses less digits than its factorization.

1102110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22433 (or 22427 counting only the distinct ones).

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

Adding to 1102110111120 its reverse (211110112011), we get a palindrome (1313220223131).

The spelling of 1102110111120 in words is "one trillion, one hundred two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".