410222121121 has 2 divisors, whose sum is σ = 410222121122. Its totient is φ = 410222121120.

The previous prime is 410222121079. The next prime is 410222121137. The reversal of 410222121121 is 121121222014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273854402721 + 136367718400 = 523311^2 + 369280^2 .

It is a cyclic number.

It is not a de Polignac number, because 410222121121 - 2¹⁹ = 410221596833 is a prime.

It is not a weakly prime, because it can be changed into another prime (410222121721) 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, 205111060560 + 205111060561.

It is an arithmetic number, because the mean of its divisors is an integer number (205111060561).

Almost surely, 2^410222121121 is an apocalyptic number.

It is an amenable number.

410222121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

410222121121 is an equidigital number, since it uses as much as digits as its factorization.

410222121121 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 410222121121 its reverse (121121222014), we get a palindrome (531343343135).

The spelling of 410222121121 in words is "four hundred ten billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".