10100100000167 has 2 divisors, whose sum is σ = 10100100000168. Its totient is φ = 10100100000166.

The previous prime is 10100100000103. The next prime is 10100100000181. The reversal of 10100100000167 is 76100000100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100000167 - 2⁶ = 10100100000103 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100300167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050000083 + 5050050000084.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050000084).

Almost surely, 2^{10100100000167} is an apocalyptic number.

10100100000167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100000167 is an equidigital number, since it uses as much as digits as its factorization.

10100100000167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10100100000167 its reverse (76100000100101), we get a palindrome (86200100100268).

The spelling of 10100100000167 in words is "ten trillion, one hundred billion, one hundred million, one hundred sixty-seven", and thus it is an aban number.