10200221 has 8 divisors (see below), whose sum is σ = 11004984. Its totient is φ = 9418240.

The previous prime is 10200173. The next prime is 10200227. The reversal of 10200221 is 12200201.

It can be written as a sum of positive squares in 4 ways, for example, as 1562500 + 8637721 = 1250^2 + 2939^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10200221 - 2¹⁰ = 10199197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200199 and 10200208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (1375623).

Almost surely, 2^10200221 is an apocalyptic number.

It is an amenable number.

10200221 is a deficient number, since it is larger than the sum of its proper divisors (804763).

10200221 is a wasteful number, since it uses less digits than its factorization.

10200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11391.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10200221 is about 3193.7784832389. The cubic root of 10200221 is about 216.8718547991.

Adding to 10200221 its reverse (12200201), we get a palindrome (22400422).

The spelling of 10200221 in words is "ten million, two hundred thousand, two hundred twenty-one".