13002121200221 has 2 divisors, whose sum is σ = 13002121200222. Its totient is φ = 13002121200220.

The previous prime is 13002121200157. The next prime is 13002121200241. The reversal of 13002121200221 is 12200212120031.

13002121200221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12468059868196 + 534061332025 = 3531014^2 + 730795^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002121200221 - 2⁶ = 13002121200157 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 13002121200221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002121200241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501060600110 + 6501060600111.

It is an arithmetic number, because the mean of its divisors is an integer number (6501060600111).

Almost surely, 2^{13002121200221} is an apocalyptic number.

It is an amenable number.

13002121200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002121200221 is an equidigital number, since it uses as much as digits as its factorization.

13002121200221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13002121200221 its reverse (12200212120031), we get a palindrome (25202333320252).

The spelling of 13002121200221 in words is "thirteen trillion, two billion, one hundred twenty-one million, two hundred thousand, two hundred twenty-one".