21001333200217 has 2 divisors, whose sum is σ = 21001333200218. Its totient is φ = 21001333200216.

The previous prime is 21001333200193. The next prime is 21001333200223. The reversal of 21001333200217 is 71200233310012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10945007688976 + 10056325511241 = 3308324^2 + 3171171^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001333200217 - 2¹⁹ = 21001332675929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21001333200191 and 21001333200200.

It is not a weakly prime, because it can be changed into another prime (21001333200227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500666600108 + 10500666600109.

It is an arithmetic number, because the mean of its divisors is an integer number (10500666600109).

Almost surely, 2^{21001333200217} is an apocalyptic number.

It is an amenable number.

21001333200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001333200217 is an equidigital number, since it uses as much as digits as its factorization.

21001333200217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 21001333200217 its reverse (71200233310012), we get a palindrome (92201566510229).

The spelling of 21001333200217 in words is "twenty-one trillion, one billion, three hundred thirty-three million, two hundred thousand, two hundred seventeen".