10212617167 has 2 divisors, whose sum is σ = 10212617168. Its totient is φ = 10212617166.

The previous prime is 10212617141. The next prime is 10212617189. The reversal of 10212617167 is 76171621201.

10212617167 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10212617167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212617267) 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, 5106308583 + 5106308584.

It is an arithmetic number, because the mean of its divisors is an integer number (5106308584).

Almost surely, 2^10212617167 is an apocalyptic number.

10212617167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212617167 is an equidigital number, since it uses as much as digits as its factorization.

10212617167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 10212617167 in words is "ten billion, two hundred twelve million, six hundred seventeen thousand, one hundred sixty-seven".