21120102221120 has 112 divisors (see below), whose sum is σ = 57494166553728. Its totient is φ = 7238996244480.

The previous prime is 21120102221093. The next prime is 21120102221143. The reversal of 21120102221120 is 2112220102112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6024830 + ... + 8862210.

Almost surely, 2^{21120102221120} is an apocalyptic number.

21120102221120 is a gapful number since it is divisible by the number (20) 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 21120102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28747083276864).

21120102221120 is an abundant number, since it is smaller than the sum of its proper divisors (36374064332608).

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

21120102221120 is a wasteful number, since it uses less digits than its factorization.

21120102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840728 (or 2840718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21120102221120 its reverse (2112220102112), we get a palindrome (23232322323232).

The spelling of 21120102221120 in words is "twenty-one trillion, one hundred twenty billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".