10202112210221 has 2 divisors, whose sum is σ = 10202112210222. Its totient is φ = 10202112210220.

The previous prime is 10202112210217. The next prime is 10202112210293. The reversal of 10202112210221 is 12201221120201.

10202112210221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10175015428900 + 27096781321 = 3189830^2 + 164611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202112210221 - 2² = 10202112210217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202112210221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202112200221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101056105110 + 5101056105111.

It is an arithmetic number, because the mean of its divisors is an integer number (5101056105111).

Almost surely, 2^{10202112210221} is an apocalyptic number.

It is an amenable number.

10202112210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202112210221 is an equidigital number, since it uses as much as digits as its factorization.

10202112210221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202112210221 its reverse (12201221120201), we get a palindrome (22403333330422).

The spelling of 10202112210221 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred ten thousand, two hundred twenty-one".