21210020211120 has 320 divisors, whose sum is σ = 73460516976000. Its totient is φ = 5026444738560.

The previous prime is 21210020211109. The next prime is 21210020211139. The reversal of 21210020211120 is 2111202001212.

It is a super-2 number, since 2×21210020211120² (a number of 27 digits) contains 22 as substring.

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 21210020211120.

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, 31241680 + ... + 31913360.

It is an arithmetic number, because the mean of its divisors is an integer number (229564115550).

Almost surely, 2^{21210020211120} is an apocalyptic number.

21210020211120 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 21210020211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730258488000).

21210020211120 is an abundant number, since it is smaller than the sum of its proper divisors (52250496764880).

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

21210020211120 is a wasteful number, since it uses less digits than its factorization.

21210020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672088 (or 672082 counting only the distinct ones).

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

Adding to 21210020211120 its reverse (2111202001212), we get a palindrome (23321222212332).

The spelling of 21210020211120 in words is "twenty-one trillion, two hundred ten billion, twenty million, two hundred eleven thousand, one hundred twenty".