21211202221120 has 112 divisors (see below), whose sum is σ = 50668594268400. Its totient is φ = 8457729122304.

The previous prime is 21211202221049. The next prime is 21211202221123. The reversal of 21211202221120 is 2112220211212.

It can be written as a sum of positive squares in 8 ways, for example, as 922952175616 + 20288250045504 = 960704^2 + 4504248^2 .

It is not an unprimeable number, because it can be changed into a prime (21211202221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202830606 + ... + 202935154.

Almost surely, 2^{21211202221120} is an apocalyptic number.

21211202221120 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 21211202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334297134200).

21211202221120 is an abundant number, since it is smaller than the sum of its proper divisors (29457392047280).

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

21211202221120 is a wasteful number, since it uses less digits than its factorization.

21211202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106560 (or 106550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21211202221120 its reverse (2112220211212), we get a palindrome (23323422432332).

The spelling of 21211202221120 in words is "twenty-one trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".