11002221021120 has 1344 divisors, whose sum is σ = 43086972764160. Its totient is φ = 2368106496000.

The previous prime is 11002221021109. The next prime is 11002221021133. The reversal of 11002221021120 is 2112012220011.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002221021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15695036770 + ... + 15695037470.

Almost surely, 2^{11002221021120} is an apocalyptic number.

11002221021120 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 11002221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543486382080).

11002221021120 is an abundant number, since it is smaller than the sum of its proper divisors (32084751743040).

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

11002221021120 is a wasteful number, since it uses less digits than its factorization.

11002221021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11002221021120 its reverse (2112012220011), we get a palindrome (13114233241131).

The spelling of 11002221021120 in words is "eleven trillion, two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".