221433341100401 has 2 divisors, whose sum is σ = 221433341100402. Its totient is φ = 221433341100400.

The previous prime is 221433341100341. The next prime is 221433341100443. The reversal of 221433341100401 is 104001143334122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196890036126001 + 24543304974400 = 14031751^2 + 4954120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221433341100401 is a prime.

It is not a weakly prime, because it can be changed into another prime (221433341100451) 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, 110716670550200 + 110716670550201.

It is an arithmetic number, because the mean of its divisors is an integer number (110716670550201).

Almost surely, 2^{221433341100401} is an apocalyptic number.

It is an amenable number.

221433341100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

221433341100401 is an equidigital number, since it uses as much as digits as its factorization.

221433341100401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 221433341100401 its reverse (104001143334122), we get a palindrome (325434484434523).

The spelling of 221433341100401 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, three hundred forty-one million, one hundred thousand, four hundred one".