2100111122167 has 2 divisors, whose sum is σ = 2100111122168. Its totient is φ = 2100111122166.

The previous prime is 2100111122159. The next prime is 2100111122237. The reversal of 2100111122167 is 7612211110012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100111122167 - 2³ = 2100111122159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100111122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050055561083 + 1050055561084.

It is an arithmetic number, because the mean of its divisors is an integer number (1050055561084).

Almost surely, 2^{2100111122167} is an apocalyptic number.

2100111122167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100111122167 is an equidigital number, since it uses as much as digits as its factorization.

2100111122167 is an evil number, because the sum of its binary digits is even.

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

Adding to 2100111122167 its reverse (7612211110012), we get a palindrome (9712322232179).

The spelling of 2100111122167 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred sixty-seven".