221210002122013 has 2 divisors, whose sum is σ = 221210002122014. Its totient is φ = 221210002122012.

The previous prime is 221210002121971. The next prime is 221210002122047. The reversal of 221210002122013 is 310221200012122.

221210002122013 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., 189221951105209 + 31988051016804 = 13755797^2 + 5655798^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210002122013 - 2²⁹ = 221209465251101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221210002122413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605001061006 + 110605001061007.

It is an arithmetic number, because the mean of its divisors is an integer number (110605001061007).

Almost surely, 2^{221210002122013} is an apocalyptic number.

It is an amenable number.

221210002122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210002122013 is an equidigital number, since it uses as much as digits as its factorization.

221210002122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221210002122013 its reverse (310221200012122), we get a palindrome (531431202134135).

The spelling of 221210002122013 in words is "two hundred twenty-one trillion, two hundred ten billion, two million, one hundred twenty-two thousand, thirteen".