21321133320101 has 2 divisors, whose sum is σ = 21321133320102. Its totient is φ = 21321133320100.

The previous prime is 21321133320023. The next prime is 21321133320103. The reversal of 21321133320101 is 10102333112312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17597773300900 + 3723360019201 = 4194970^2 + 1929601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21321133320101 is a prime.

It is a Sophie Germain prime.

Together with 21321133320103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21321133320103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10660566660050 + 10660566660051.

It is an arithmetic number, because the mean of its divisors is an integer number (10660566660051).

Almost surely, 2^{21321133320101} is an apocalyptic number.

It is an amenable number.

21321133320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21321133320101 is an equidigital number, since it uses as much as digits as its factorization.

21321133320101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21321133320101 its reverse (10102333112312), we get a palindrome (31423466432413).

The spelling of 21321133320101 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred thirty-three million, three hundred twenty thousand, one hundred one".