10221221221021 has 2 divisors, whose sum is σ = 10221221221022. Its totient is φ = 10221221221020.

The previous prime is 10221221221007. The next prime is 10221221221037. The reversal of 10221221221021 is 12012212212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10198193158521 + 23028062500 = 3193461^2 + 151750^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221221221021 - 2³⁵ = 10186861482653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221221221021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221221221921) 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, 5110610610510 + 5110610610511.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610610511).

Almost surely, 2^{10221221221021} is an apocalyptic number.

It is an amenable number.

10221221221021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221221221021 is an equidigital number, since it uses as much as digits as its factorization.

10221221221021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10221221221021 its reverse (12012212212201), we get a palindrome (22233433433222).

The spelling of 10221221221021 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-one".