21010221313120 has 192 divisors, whose sum is σ = 56614113452736. Its totient is φ = 7299372810240.

The previous prime is 21010221313073. The next prime is 21010221313141. The reversal of 21010221313120 is 2131312201012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138075480 + ... + 138227560.

It is an arithmetic number, because the mean of its divisors is an integer number (294865174233).

Almost surely, 2^{21010221313120} is an apocalyptic number.

21010221313120 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 21010221313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28307056726368).

21010221313120 is an abundant number, since it is smaller than the sum of its proper divisors (35603892139616).

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

21010221313120 is a wasteful number, since it uses less digits than its factorization.

21010221313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156033 (or 156025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21010221313120 its reverse (2131312201012), we get a palindrome (23141533514132).

The spelling of 21010221313120 in words is "twenty-one trillion, ten billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".