21210222010120 has 512 divisors, whose sum is σ = 57831631119360. Its totient is φ = 6899834880000.

The previous prime is 21210222010079. The next prime is 21210222010169. The reversal of 21210222010120 is 2101022201212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21210222010094 and 21210222010103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5777775885 + ... + 5777779555.

It is an arithmetic number, because the mean of its divisors is an integer number (112952404530).

Almost surely, 2^{21210222010120} is an apocalyptic number.

21210222010120 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 21210222010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28915815559680).

21210222010120 is an abundant number, since it is smaller than the sum of its proper divisors (36621409109240).

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

21210222010120 is a wasteful number, since it uses less digits than its factorization.

21210222010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21210222010120 its reverse (2101022201212), we get a palindrome (23311244211332).

It can be divided in two parts, 212102 and 22010120, that added together give a palindrome (22222222).

The spelling of 21210222010120 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-two million, ten thousand, one hundred twenty".