The weight changes from place to place as the weight is a vector quantity as well as a dependent quantity. Therefore, weight seems to be varying but the inertia is not.
Explanation:
The weight as already known well, is not a universal constant, whereas the mass is. As the weight is a product of mass of the body and the gravitational acceleration working on it, it varies as the factor of acceleration involved makes it a vector quantity.
And thus be dependent upon the direction too. Inertia of the body is an independent factor, on the other hand, an inherent property and so does not change.