210213330100320 has 192 divisors, whose sum is σ = 668061858389184. Its totient is φ = 55558319308800.

The previous prime is 210213330100309. The next prime is 210213330100343. The reversal of 210213330100320 is 23001033312012.

It is a super-2 number, since 2×210213330100320² (a number of 29 digits) contains 22 as substring.

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, 1426058620 + ... + 1426206020.

It is an arithmetic number, because the mean of its divisors is an integer number (3479488845777).

Almost surely, 2^{210213330100320} is an apocalyptic number.

210213330100320 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 210213330100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334030929194592).

210213330100320 is an abundant number, since it is smaller than the sum of its proper divisors (457848528288864).

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

210213330100320 is a wasteful number, since it uses less digits than its factorization.

210213330100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173825 (or 173817 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 210213330100320 its reverse (23001033312012), we get a palindrome (233214363412332).

The spelling of 210213330100320 in words is "two hundred ten trillion, two hundred thirteen billion, three hundred thirty million, one hundred thousand, three hundred twenty".