221002202200133 has 2 divisors, whose sum is σ = 221002202200134. Its totient is φ = 221002202200132.

The previous prime is 221002202200079. The next prime is 221002202200151. The reversal of 221002202200133 is 331002202200122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159184601118244 + 61817601081889 = 12616838^2 + 7862417^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002202200133 - 2³⁴ = 220985022330949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221002202200183) 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, 110501101100066 + 110501101100067.

It is an arithmetic number, because the mean of its divisors is an integer number (110501101100067).

Almost surely, 2^{221002202200133} is an apocalyptic number.

It is an amenable number.

221002202200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002202200133 is an equidigital number, since it uses as much as digits as its factorization.

221002202200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221002202200133 its reverse (331002202200122), we get a palindrome (552004404400255).

The spelling of 221002202200133 in words is "two hundred twenty-one trillion, two billion, two hundred two million, two hundred thousand, one hundred thirty-three".