210021122122241 has 2 divisors, whose sum is σ = 210021122122242. Its totient is φ = 210021122122240.

The previous prime is 210021122122219. The next prime is 210021122122249. The reversal of 210021122122241 is 142221221120012.

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., 177693698832400 + 32327423289841 = 13330180^2 + 5685721^2 .

It is a cyclic number.

It is not a de Polignac number, because 210021122122241 - 2³⁴ = 210003942253057 is a prime.

It is not a weakly prime, because it can be changed into another prime (210021122122249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105010561061120 + 105010561061121.

It is an arithmetic number, because the mean of its divisors is an integer number (105010561061121).

Almost surely, 2^{210021122122241} is an apocalyptic number.

It is an amenable number.

210021122122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

210021122122241 is an equidigital number, since it uses as much as digits as its factorization.

210021122122241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 210021122122241 its reverse (142221221120012), we get a palindrome (352242343242253).

The spelling of 210021122122241 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred forty-one".