10221434420221 has 2 divisors, whose sum is σ = 10221434420222. Its totient is φ = 10221434420220.

The previous prime is 10221434420207. The next prime is 10221434420251. The reversal of 10221434420221 is 12202443412201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9286372496025 + 935061924196 = 3047355^2 + 966986^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221434420221 - 2³³ = 10212844485629 is a prime.

It is a super-2 number, since 2×10221434420221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221434420221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221434420251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110717210110 + 5110717210111.

It is an arithmetic number, because the mean of its divisors is an integer number (5110717210111).

Almost surely, 2^{10221434420221} is an apocalyptic number.

It is an amenable number.

10221434420221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221434420221 is an equidigital number, since it uses as much as digits as its factorization.

10221434420221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10221434420221 its reverse (12202443412201), we get a palindrome (22423877832422).

The spelling of 10221434420221 in words is "ten trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty thousand, two hundred twenty-one".