2122111100167 has 2 divisors, whose sum is σ = 2122111100168. Its totient is φ = 2122111100166.

The previous prime is 2122111100143. The next prime is 2122111100261. The reversal of 2122111100167 is 7610011112212.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2122111100167 - 2¹⁵ = 2122111067399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111100267) 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, 1061055550083 + 1061055550084.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055550084).

Almost surely, 2^{2122111100167} is an apocalyptic number.

2122111100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111100167 is an equidigital number, since it uses as much as digits as its factorization.

2122111100167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 2122111100167 its reverse (7610011112212), we get a palindrome (9732122212379).

The spelling of 2122111100167 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred sixty-seven".