2112122100167 has 2 divisors, whose sum is σ = 2112122100168. Its totient is φ = 2112122100166.

The previous prime is 2112122100139. The next prime is 2112122100223. The reversal of 2112122100167 is 7610012212112.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112122100167 is a prime.

It is a super-2 number, since 2×2112122100167² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112122100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056061050083 + 1056061050084.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061050084).

Almost surely, 2^{2112122100167} is an apocalyptic number.

2112122100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122100167 is an equidigital number, since it uses as much as digits as its factorization.

2112122100167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 2112122100167 its reverse (7610012212112), we get a palindrome (9722134312279).

The spelling of 2112122100167 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, one hundred sixty-seven".