10221300 has 108 divisors (see below), whose sum is σ = 32937996. Its totient is φ = 2649600.

The previous prime is 10221293. The next prime is 10221347. The reversal of 10221300 is 312201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3283344 + 6937956 = 1812^2 + 2634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36762 + ... + 37038.

Almost surely, 2^10221300 is an apocalyptic number.

10221300 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 10221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468998).

10221300 is an abundant number, since it is smaller than the sum of its proper divisors (22716696).

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

10221300 is a wasteful number, since it uses less digits than its factorization.

10221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10221300 is about 3197.0767898191. The cubic root of 10221300 is about 217.0211422979.

Adding to 10221300 its reverse (312201), we get a palindrome (10533501).

Subtracting from 10221300 its reverse (312201), we obtain a palindrome (9909099).

The spelling of 10221300 in words is "ten million, two hundred twenty-one thousand, three hundred".