2002221202133 has 2 divisors, whose sum is σ = 2002221202134. Its totient is φ = 2002221202132.

The previous prime is 2002221202097. The next prime is 2002221202231. The reversal of 2002221202133 is 3312021222002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1430650425604 + 571570776529 = 1196098^2 + 756023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002221202133 - 2¹⁸ = 2002220939989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002221201133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110601066 + 1001110601067.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110601067).

Almost surely, 2^{2002221202133} is an apocalyptic number.

It is an amenable number.

2002221202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002221202133 is an equidigital number, since it uses as much as digits as its factorization.

2002221202133 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 2002221202133 its reverse (3312021222002), we get a palindrome (5314242424135).

The spelling of 2002221202133 in words is "two trillion, two billion, two hundred twenty-one million, two hundred two thousand, one hundred thirty-three".