10103102167 has 2 divisors, whose sum is σ = 10103102168. Its totient is φ = 10103102166.

The previous prime is 10103102147. The next prime is 10103102173. The reversal of 10103102167 is 76120130101.

10103102167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10103102167 - 2¹⁵ = 10103069399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103102137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051551083 + 5051551084.

It is an arithmetic number, because the mean of its divisors is an integer number (5051551084).

Almost surely, 2^10103102167 is an apocalyptic number.

10103102167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103102167 is an equidigital number, since it uses as much as digits as its factorization.

10103102167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10103102167 its reverse (76120130101), we get a palindrome (86223232268).

The spelling of 10103102167 in words is "ten billion, one hundred three million, one hundred two thousand, one hundred sixty-seven".