1000112120167 has 2 divisors, whose sum is σ = 1000112120168. Its totient is φ = 1000112120166.

The previous prime is 1000112120149. The next prime is 1000112120219. The reversal of 1000112120167 is 7610212110001.

It is a weak prime.

It is an emirp because it is prime and its reverse (7610212110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000112120167 - 2¹⁵ = 1000112087399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000112120107) 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, 500056060083 + 500056060084.

It is an arithmetic number, because the mean of its divisors is an integer number (500056060084).

Almost surely, 2^{1000112120167} is an apocalyptic number.

1000112120167 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112120167 is an equidigital number, since it uses as much as digits as its factorization.

1000112120167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 1000112120167 its reverse (7610212110001), we get a palindrome (8610324230168).

The spelling of 1000112120167 in words is "one trillion, one hundred twelve million, one hundred twenty thousand, one hundred sixty-seven".