431201121102221 has 2 divisors, whose sum is σ = 431201121102222. Its totient is φ = 431201121102220.

The previous prime is 431201121102217. The next prime is 431201121102223. The reversal of 431201121102221 is 122201121102134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403406662620196 + 27794458482025 = 20084986^2 + 5272045^2 .

It is a cyclic number.

It is not a de Polignac number, because 431201121102221 - 2² = 431201121102217 is a prime.

It is a super-2 number, since 2×431201121102221² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 431201121102223, 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 (431201121102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215600560551110 + 215600560551111.

It is an arithmetic number, because the mean of its divisors is an integer number (215600560551111).

Almost surely, 2^{431201121102221} is an apocalyptic number.

It is an amenable number.

431201121102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

431201121102221 is an equidigital number, since it uses as much as digits as its factorization.

431201121102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 431201121102221 its reverse (122201121102134), we get a palindrome (553402242204355).

The spelling of 431201121102221 in words is "four hundred thirty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty-one".