21211022011301 has 2 divisors, whose sum is σ = 21211022011302. Its totient is φ = 21211022011300.

The previous prime is 21211022011177. The next prime is 21211022011303. The reversal of 21211022011301 is 10311022011212.

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., 21206264460676 + 4757550625 = 4605026^2 + 68975^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211022011301 - 2³⁴ = 21193842142117 is a prime.

Together with 21211022011303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21211022011301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211022011303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605511005650 + 10605511005651.

It is an arithmetic number, because the mean of its divisors is an integer number (10605511005651).

Almost surely, 2^{21211022011301} is an apocalyptic number.

It is an amenable number.

21211022011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211022011301 is an equidigital number, since it uses as much as digits as its factorization.

21211022011301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21211022011301 its reverse (10311022011212), we get a palindrome (31522044022513).

The spelling of 21211022011301 in words is "twenty-one trillion, two hundred eleven billion, twenty-two million, eleven thousand, three hundred one".