10220221222121 has 2 divisors, whose sum is σ = 10220221222122. Its totient is φ = 10220221222120.

The previous prime is 10220221222027. The next prime is 10220221222153. The reversal of 10220221222121 is 12122212202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8678538916096 + 1541682306025 = 2945936^2 + 1241645^2 .

It is an emirp because it is prime and its reverse (12122212202201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220221222121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220221222093 and 10220221222102.

It is not a weakly prime, because it can be changed into another prime (10220224222121) 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, 5110110611060 + 5110110611061.

It is an arithmetic number, because the mean of its divisors is an integer number (5110110611061).

Almost surely, 2^{10220221222121} is an apocalyptic number.

It is an amenable number.

10220221222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220221222121 is an equidigital number, since it uses as much as digits as its factorization.

10220221222121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10220221222121 its reverse (12122212202201), we get a palindrome (22342433424322).

The spelling of 10220221222121 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".