21200937360289 has 2 divisors, whose sum is σ = 21200937360290. Its totient is φ = 21200937360288.

The previous prime is 21200937360287. The next prime is 21200937360347. The reversal of 21200937360289 is 98206373900212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20332298448225 + 868638912064 = 4509135^2 + 932008^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200937360289 - 2¹ = 21200937360287 is a prime.

It is a super-2 number, since 2×21200937360289² (a number of 27 digits) contains 22 as substring.

Together with 21200937360287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21200937360287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600468680144 + 10600468680145.

It is an arithmetic number, because the mean of its divisors is an integer number (10600468680145).

Almost surely, 2^{21200937360289} is an apocalyptic number.

It is an amenable number.

21200937360289 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200937360289 is an equidigital number, since it uses as much as digits as its factorization.

21200937360289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 21200937360289 in words is "twenty-one trillion, two hundred billion, nine hundred thirty-seven million, three hundred sixty thousand, two hundred eighty-nine".