10221223200 has 144 divisors (see below), whose sum is σ = 33306993216. Its totient is φ = 2722636800.

The previous prime is 10221223193. The next prime is 10221223211. The reversal of 10221223200 is 232212201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10221223200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2909445 + ... + 2912955.

It is an arithmetic number, because the mean of its divisors is an integer number (231298564).

Almost surely, 2^10221223200 is an apocalyptic number.

10221223200 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 10221223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653496608).

10221223200 is an abundant number, since it is smaller than the sum of its proper divisors (23085770016).

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

10221223200 is a wasteful number, since it uses less digits than its factorization.

10221223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10221223200 its reverse (232212201), we get a palindrome (10453435401).

The spelling of 10221223200 in words is "ten billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred".