10221003200 has 84 divisors (see below), whose sum is σ = 25214973192. Its totient is φ = 4077849600.

The previous prime is 10221003197. The next prime is 10221003227. The reversal of 10221003200 is 230012201.

It is a happy number.

It is a super-3 number, since 3×10221003200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627155 + ... + 643245.

Almost surely, 2^10221003200 is an apocalyptic number.

10221003200 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 10221003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607486596).

10221003200 is an abundant number, since it is smaller than the sum of its proper divisors (14993969992).

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

10221003200 is a wasteful number, since it uses less digits than its factorization.

10221003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16510 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10221003200 its reverse (230012201), we get a palindrome (10451015401).

Subtracting from 10221003200 its reverse (230012201), we obtain a palindrome (9990990999).

The spelling of 10221003200 in words is "ten billion, two hundred twenty-one million, three thousand, two hundred".