210000102200221 has 2 divisors, whose sum is σ = 210000102200222. Its totient is φ = 210000102200220.

The previous prime is 210000102200219. The next prime is 210000102200237. The reversal of 210000102200221 is 122002201000012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202436837680900 + 7563264519321 = 14228030^2 + 2750139^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000102200221 - 2¹ = 210000102200219 is a prime.

Together with 210000102200219, 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 (210000102200261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105000051100110 + 105000051100111.

It is an arithmetic number, because the mean of its divisors is an integer number (105000051100111).

Almost surely, 2^{210000102200221} is an apocalyptic number.

It is an amenable number.

210000102200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

210000102200221 is an equidigital number, since it uses as much as digits as its factorization.

210000102200221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210000102200221 its reverse (122002201000012), we get a palindrome (332002303200233).

The spelling of 210000102200221 in words is "two hundred ten trillion, one hundred two million, two hundred thousand, two hundred twenty-one".