221222202401 has 2 divisors, whose sum is σ = 221222202402. Its totient is φ = 221222202400.

The previous prime is 221222202367. The next prime is 221222202431. The reversal of 221222202401 is 104202222122.

221222202401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220693248400 + 528954001 = 469780^2 + 22999^2 .

It is a cyclic number.

It is not a de Polignac number, because 221222202401 - 2¹⁰ = 221222201377 is a prime.

It is not a weakly prime, because it can be changed into another prime (221222202431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611101200 + 110611101201.

It is an arithmetic number, because the mean of its divisors is an integer number (110611101201).

Almost surely, 2^221222202401 is an apocalyptic number.

It is an amenable number.

221222202401 is a deficient number, since it is larger than the sum of its proper divisors (1).

221222202401 is an equidigital number, since it uses as much as digits as its factorization.

221222202401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221222202401 its reverse (104202222122), we get a palindrome (325424424523).

The spelling of 221222202401 in words is "two hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, four hundred one".