21200021111120 has 320 divisors, whose sum is σ = 54191317248000. Its totient is φ = 7681776844800.

The previous prime is 21200021111099. The next prime is 21200021111173. The reversal of 21200021111120 is 2111112000212.

It is a super-2 number, since 2×21200021111120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21200021111095 and 21200021111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961921061 + ... + 961943099.

It is an arithmetic number, because the mean of its divisors is an integer number (169347866400).

Almost surely, 2^{21200021111120} is an apocalyptic number.

21200021111120 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 21200021111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095658624000).

21200021111120 is an abundant number, since it is smaller than the sum of its proper divisors (32991296136880).

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

21200021111120 is a wasteful number, since it uses less digits than its factorization.

21200021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22366 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21200021111120 its reverse (2111112000212), we get a palindrome (23311133111332).

The spelling of 21200021111120 in words is "twenty-one trillion, two hundred billion, twenty-one million, one hundred eleven thousand, one hundred twenty".