2002122122167 has 2 divisors, whose sum is σ = 2002122122168. Its totient is φ = 2002122122166.

The previous prime is 2002122122149. The next prime is 2002122122171. The reversal of 2002122122167 is 7612212212002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002122122167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002122122107) 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, 1001061061083 + 1001061061084.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061061084).

Almost surely, 2^{2002122122167} is an apocalyptic number.

2002122122167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002122122167 is an equidigital number, since it uses as much as digits as its factorization.

2002122122167 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 28.

Adding to 2002122122167 its reverse (7612212212002), we get a palindrome (9614334334169).

The spelling of 2002122122167 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred sixty-seven".