21210230221120 has 224 divisors, whose sum is σ = 52735439746080. Its totient is φ = 8117832253440.

The previous prime is 21210230221057. The next prime is 21210230221121. The reversal of 21210230221120 is 2112203201212.

It can be written as a sum of positive squares in 16 ways, for example, as 4577340438784 + 16632889782336 = 2139472^2 + 4078344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210230221121) 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 31 ways as a sum of consecutive naturals, for example, 2620807794 + ... + 2620815886.

It is an arithmetic number, because the mean of its divisors is an integer number (235426070295).

Almost surely, 2^{21210230221120} is an apocalyptic number.

21210230221120 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 21210230221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26367719873040).

21210230221120 is an abundant number, since it is smaller than the sum of its proper divisors (31525209524960).

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

21210230221120 is a wasteful number, since it uses less digits than its factorization.

21210230221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21210230221120 its reverse (2112203201212), we get a palindrome (23322433422332).

The spelling of 21210230221120 in words is "twenty-one trillion, two hundred ten billion, two hundred thirty million, two hundred twenty-one thousand, one hundred twenty".