2002221100333 has 2 divisors, whose sum is σ = 2002221100334. Its totient is φ = 2002221100332.

The previous prime is 2002221100307. The next prime is 2002221100351. The reversal of 2002221100333 is 3330011222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1964249901289 + 37971199044 = 1401517^2 + 194862^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002221100333 - 2⁹ = 2002221099821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002221100333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002221104333) 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, 1001110550166 + 1001110550167.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110550167).

Almost surely, 2^{2002221100333} is an apocalyptic number.

It is an amenable number.

2002221100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002221100333 is an equidigital number, since it uses as much as digits as its factorization.

2002221100333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2002221100333 its reverse (3330011222002), we get a palindrome (5332232322335).

The spelling of 2002221100333 in words is "two trillion, two billion, two hundred twenty-one million, one hundred thousand, three hundred thirty-three".