10223410434401 has 2 divisors, whose sum is σ = 10223410434402. Its totient is φ = 10223410434400.

The previous prime is 10223410434379. The next prime is 10223410434421. The reversal of 10223410434401 is 10443401432201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8979605566801 + 1243804867600 = 2996599^2 + 1115260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223410434401 - 2⁶ = 10223410434337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223410434421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111705217200 + 5111705217201.

It is an arithmetic number, because the mean of its divisors is an integer number (5111705217201).

Almost surely, 2^{10223410434401} is an apocalyptic number.

It is an amenable number.

10223410434401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223410434401 is an equidigital number, since it uses as much as digits as its factorization.

10223410434401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10223410434401 its reverse (10443401432201), we get a palindrome (20666811866602).

The spelling of 10223410434401 in words is "ten trillion, two hundred twenty-three billion, four hundred ten million, four hundred thirty-four thousand, four hundred one".