2002112222221 has 2 divisors, whose sum is σ = 2002112222222. Its totient is φ = 2002112222220.

The previous prime is 2002112222219. The next prime is 2002112222321. The reversal of 2002112222221 is 1222222112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1993210299721 + 8901922500 = 1411811^2 + 94350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112222221 - 2¹ = 2002112222219 is a prime.

Together with 2002112222219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002112222321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056111110 + 1001056111111.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056111111).

Almost surely, 2^{2002112222221} is an apocalyptic number.

It is an amenable number.

2002112222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112222221 is an equidigital number, since it uses as much as digits as its factorization.

2002112222221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2002112222221 its reverse (1222222112002), we get a palindrome (3224334334223).

The spelling of 2002112222221 in words is "two trillion, two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twenty-one".