10221023200 has 72 divisors (see below), whose sum is σ = 24998759352. Its totient is φ = 4080760320.

The previous prime is 10221023143. The next prime is 10221023231. The reversal of 10221023200 is 232012201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425922 + ... + 449278.

It is an arithmetic number, because the mean of its divisors is an integer number (347204991).

Almost surely, 2^10221023200 is an apocalyptic number.

10221023200 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 10221023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499379676).

10221023200 is an abundant number, since it is smaller than the sum of its proper divisors (14777736152).

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

10221023200 is a wasteful number, since it uses less digits than its factorization.

10221023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23924 (or 23911 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10221023200 its reverse (232012201), we get a palindrome (10453035401).

The spelling of 10221023200 in words is "ten billion, two hundred twenty-one million, twenty-three thousand, two hundred".