104413103324221 has 2 divisors, whose sum is σ = 104413103324222. Its totient is φ = 104413103324220.

The previous prime is 104413103324161. The next prime is 104413103324281. The reversal of 104413103324221 is 122423301314401.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (104413103324161) and next prime (104413103324281).

It can be written as a sum of positive squares in only one way, i.e., 69720178719321 + 34692924604900 = 8349861^2 + 5890070^2 .

It is a cyclic number.

It is not a de Polignac number, because 104413103324221 - 2⁹ = 104413103323709 is a prime.

It is a super-3 number, since 3×104413103324221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104413103324281) 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, 52206551662110 + 52206551662111.

It is an arithmetic number, because the mean of its divisors is an integer number (52206551662111).

Almost surely, 2^{104413103324221} is an apocalyptic number.

It is an amenable number.

104413103324221 is a deficient number, since it is larger than the sum of its proper divisors (1).

104413103324221 is an equidigital number, since it uses as much as digits as its factorization.

104413103324221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 104413103324221 its reverse (122423301314401), we get a palindrome (226836404638622).

The spelling of 104413103324221 in words is "one hundred four trillion, four hundred thirteen billion, one hundred three million, three hundred twenty-four thousand, two hundred twenty-one".