21321120102000 has 640 divisors, whose sum is σ = 71859029299200. Its totient is φ = 5431974912000.

The previous prime is 21321120101999. The next prime is 21321120102031. The reversal of 21321120102000 is 20102112312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9322744857 + ... + 9322747143.

It is an arithmetic number, because the mean of its divisors is an integer number (112279733280).

Almost surely, 2^{21321120102000} is an apocalyptic number.

21321120102000 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 21321120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929514649600).

21321120102000 is an abundant number, since it is smaller than the sum of its proper divisors (50537909197200).

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

21321120102000 is a wasteful number, since it uses less digits than its factorization.

21321120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21321120102000 its reverse (20102112312), we get a palindrome (21341222214312).

The spelling of 21321120102000 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred twenty million, one hundred two thousand".