10100221 has 2 divisors, whose sum is σ = 10100222. Its totient is φ = 10100220.

The previous prime is 10100219. The next prime is 10100249. The reversal of 10100221 is 12200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9696996 + 403225 = 3114^2 + 635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100221 - 2¹ = 10100219 is a prime.

Together with 10100219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110 + 5050111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050111).

Almost surely, 2^10100221 is an apocalyptic number.

It is an amenable number.

10100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100221 is an equidigital number, since it uses as much as digits as its factorization.

10100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10100221 is about 3178.0844859758. The cubic root of 10100221 is about 216.1608098900.

Adding to 10100221 its reverse (12200101), we get a palindrome (22300322).

The spelling of 10100221 in words is "ten million, one hundred thousand, two hundred twenty-one".