22002112102211 has 2 divisors, whose sum is σ = 22002112102212. Its totient is φ = 22002112102210.

The previous prime is 22002112102199. The next prime is 22002112102213. The reversal of 22002112102211 is 11220121120022.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22002112102211 - 2³⁴ = 21984932233027 is a prime.

It is a super-2 number, since 2×22002112102211² (a number of 27 digits) contains 22 as substring.

Together with 22002112102213, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22002112102211.

It is not a weakly prime, because it can be changed into another prime (22002112102213) 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, 11001056051105 + 11001056051106.

It is an arithmetic number, because the mean of its divisors is an integer number (11001056051106).

Almost surely, 2^{22002112102211} is an apocalyptic number.

22002112102211 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002112102211 is an equidigital number, since it uses as much as digits as its factorization.

22002112102211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22002112102211 its reverse (11220121120022), we get a palindrome (33222233222233).

The spelling of 22002112102211 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred two thousand, two hundred eleven".