10213203322200 has 288 divisors, whose sum is σ = 31951405604160. Its totient is φ = 2698736889600.

The previous prime is 10213203322181. The next prime is 10213203322237. The reversal of 10213203322200 is 222330231201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6670935435 + ... + 6670936965.

It is an arithmetic number, because the mean of its divisors is an integer number (110942380570).

Almost surely, 2^{10213203322200} is an apocalyptic number.

10213203322200 is a gapful number since it is divisible by the number (10) 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 10213203322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975702802080).

10213203322200 is an abundant number, since it is smaller than the sum of its proper divisors (21738202281960).

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

10213203322200 is a wasteful number, since it uses less digits than its factorization.

10213203322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10213203322200 its reverse (222330231201), we get a palindrome (10435533553401).

The spelling of 10213203322200 in words is "ten trillion, two hundred thirteen billion, two hundred three million, three hundred twenty-two thousand, two hundred".