10221022213200 has 720 divisors, whose sum is σ = 37105999397376. Its totient is φ = 2602807603200.

The previous prime is 10221022213189. The next prime is 10221022213223. The reversal of 10221022213200 is 231222012201.

10221022213200 is a `hidden beast` number, since 1 + 0 + 22 + 102 + 221 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4769491329 + ... + 4769493471.

Almost surely, 2^{10221022213200} is an apocalyptic number.

10221022213200 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 10221022213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552999698688).

10221022213200 is an abundant number, since it is smaller than the sum of its proper divisors (26884977184176).

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

10221022213200 is a wasteful number, since it uses less digits than its factorization.

10221022213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221022213200 its reverse (231222012201), we get a palindrome (10452244225401).

The spelling of 10221022213200 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred thirteen thousand, two hundred".