10221123200 has 48 divisors (see below), whose sum is σ = 25249376310. Its totient is φ = 4088448000.

The previous prime is 10221123179. The next prime is 10221123221. The reversal of 10221123200 is 232112201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10221123179) and next prime (10221123221).

It can be written as a sum of positive squares in 3 ways, for example, as 4395159616 + 5825963584 = 66296^2 + 76328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1593851 + ... + 1600250.

Almost surely, 2^10221123200 is an apocalyptic number.

10221123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221123200 is an abundant number, since it is smaller than the sum of its proper divisors (15028253110).

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

10221123200 is an equidigital number, since it uses as much as digits as its factorization.

10221123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194125 (or 3194108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10221123200 its reverse (232112201), we get a palindrome (10453235401).

The spelling of 10221123200 in words is "ten billion, two hundred twenty-one million, one hundred twenty-three thousand, two hundred".