# Does potential energy affect the mass of an object?

Assume a space contains one black hole and two electrons $e_1$ and $e_2$ only. The distance between the black hole and electron $e_1$ is $10^6$ km, and the distance between the black hole and $e_2$ is $10^{15}$ km (about 100 light years). Relative velocities of two electrons to the black hole are zero. There is no other interaction between the black hole and two electrons, except gravitational force.

My question is : Is $e_2$'s mass is greater than $e_1$'s mass because of gravitational potential energy difference?

Because I am an engineer, not a physicist, my question may have some defects. What I want to know is : if the potential energy is indeed in the object, the mass of the object can vary because of the potential energy difference?