21200010221213 has 2 divisors, whose sum is σ = 21200010221214. Its totient is φ = 21200010221212.

The previous prime is 21200010221197. The next prime is 21200010221227. The reversal of 21200010221213 is 31212201000212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20018447743204 + 1181562478009 = 4474198^2 + 1086997^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200010221213 - 2⁴ = 21200010221197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21200010221191 and 21200010221200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21200010221813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600005110606 + 10600005110607.

It is an arithmetic number, because the mean of its divisors is an integer number (10600005110607).

Almost surely, 2^{21200010221213} is an apocalyptic number.

It is an amenable number.

21200010221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200010221213 is an equidigital number, since it uses as much as digits as its factorization.

21200010221213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21200010221213 its reverse (31212201000212), we get a palindrome (52412211221425).

The spelling of 21200010221213 in words is "twenty-one trillion, two hundred billion, ten million, two hundred twenty-one thousand, two hundred thirteen".