This is an interesting question that reflects a common human tendency. People often try to put our human limitations on God. The God of the Bible does not have our limitations. It is difficult to comprehend God as not being affected by time, space or matter like we are. There is a story that may help explain how God is beyond understanding.
Suppose there were two flat people represented by two rectangular pieces of paper. These flat people lived on a tabletop. We will call them Mr. Flat and Mrs. Flat and the place they live in and understand is called Flatland. They are two-dimensional beings and live in a two dimensional world. They have no concept of the third dimension. They can see only one dimension (width) but they can perceive two, length and width; just as humans can see two dimensions, length and width and perceive a third, depth. (Hence, the term "depth perception.")
Now suppose that a three-dimensional being (a human) wished to meet and explain himself to Mr. and Mrs. Flat. If that person stuck a finger through the table top called Flatland, Mr. and Mrs. Flat would see only a circle, (the cross section of the finger) with no perception of the rest of the person. Three dimensions are beyond their comprehension in the same way God is beyond our comprehension.
Ephesians 3:18-19 says, "May be able to comprehend with all saints what is breadth, and length, and depth, and height; (four dimensions) And to know the love of Christ, which passeth knowledge, that ye might be filled with all the fullness of God."
God may exist in more dimensions than we can fully comprehend now. When we ask a question like "is God getting old," we assume that God exists in time like we do. He does not. He exists beyond time, space, and matter; humans are the ones stuck in time. So God does not grow old. Time, space and matter do not apply to Him or affect Him in any way. He created them all in Genesis 1:1.
Dr. Kent Hovind