10211122221221 has 2 divisors, whose sum is σ = 10211122221222. Its totient is φ = 10211122221220.

The previous prime is 10211122221187. The next prime is 10211122221227. The reversal of 10211122221221 is 12212222111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10137130060996 + 73992160225 = 3183886^2 + 272015^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211122221221 - 2²² = 10211118026917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211122221193 and 10211122221202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211122221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105561110610 + 5105561110611.

It is an arithmetic number, because the mean of its divisors is an integer number (5105561110611).

Almost surely, 2^{10211122221221} is an apocalyptic number.

It is an amenable number.

10211122221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211122221221 is an equidigital number, since it uses as much as digits as its factorization.

10211122221221 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 20.

Adding to 10211122221221 its reverse (12212222111201), we get a palindrome (22423344332422).

The spelling of 10211122221221 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".