1100002111120 has 160 divisors (see below), whose sum is σ = 2888723502720. Its totient is φ = 385871646720.

The previous prime is 1100002111097. The next prime is 1100002111171. The reversal of 1100002111120 is 211112000011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100002111097 and 1100002111106.

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, 30274084 + ... + 30310396.

It is an arithmetic number, because the mean of its divisors is an integer number (18054521892).

Almost surely, 2^{1100002111120} is an apocalyptic number.

1100002111120 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 1100002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444361751360).

1100002111120 is an abundant number, since it is smaller than the sum of its proper divisors (1788721391600).

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

1100002111120 is a wasteful number, since it uses less digits than its factorization.

1100002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37553 (or 37547 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100002111120 its reverse (211112000011), we get a palindrome (1311114111131).

The spelling of 1100002111120 in words is "one trillion, one hundred billion, two million, one hundred eleven thousand, one hundred twenty".