10205158710167 has 2 divisors, whose sum is σ = 10205158710168. Its totient is φ = 10205158710166.

The previous prime is 10205158710161. The next prime is 10205158710169. The reversal of 10205158710167 is 76101785150201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10205158710167 is a prime.

Together with 10205158710169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205158710161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102579355083 + 5102579355084.

It is an arithmetic number, because the mean of its divisors is an integer number (5102579355084).

Almost surely, 2^{10205158710167} is an apocalyptic number.

10205158710167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205158710167 is an equidigital number, since it uses as much as digits as its factorization.

10205158710167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 44.

The spelling of 10205158710167 in words is "ten trillion, two hundred five billion, one hundred fifty-eight million, seven hundred ten thousand, one hundred sixty-seven".