101344112167 has 2 divisors, whose sum is σ = 101344112168. Its totient is φ = 101344112166.

The previous prime is 101344112161. The next prime is 101344112201. The reversal of 101344112167 is 761211443101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101344112167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101344112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50672056083 + 50672056084.

It is an arithmetic number, because the mean of its divisors is an integer number (50672056084).

Almost surely, 2^101344112167 is an apocalyptic number.

101344112167 is a deficient number, since it is larger than the sum of its proper divisors (1).

101344112167 is an equidigital number, since it uses as much as digits as its factorization.

101344112167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 101344112167 its reverse (761211443101), we get a palindrome (862555555268).

The spelling of 101344112167 in words is "one hundred one billion, three hundred forty-four million, one hundred twelve thousand, one hundred sixty-seven".