2222101122167 has 2 divisors, whose sum is σ = 2222101122168. Its totient is φ = 2222101122166.

The previous prime is 2222101122091. The next prime is 2222101122193. The reversal of 2222101122167 is 7612211012222.

2222101122167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2222101122167 - 2⁴⁰ = 1122589494391 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222101122667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111050561083 + 1111050561084.

It is an arithmetic number, because the mean of its divisors is an integer number (1111050561084).

Almost surely, 2^{2222101122167} is an apocalyptic number.

2222101122167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222101122167 is an equidigital number, since it uses as much as digits as its factorization.

2222101122167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 2222101122167 its reverse (7612211012222), we get a palindrome (9834312134389).

The spelling of 2222101122167 in words is "two trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred sixty-seven".