At the present time God alone possesses immortality.

“God, the blessed and only Ruler, the King of kings and Lord of lords, WHO ALONE IS IMMORTAL.”
—1 Timothy 6:15, 16.

Scripture makes it clear that people in this life are mortal: subject to death. But when Jesus returns, our nature will undergo a radical change.

“Listen, I tell you a mystery: WE WILL NOT ALL SLEEP, but WE WILL ALL BE CHANGED—in a flash, in the twinkling of an eye, AT THE LAST TRUMPET. For the trumpet will sound, THE DEAD WILL BE RAISED imperishable, AND WE WILL BE CHANGED. For the perishable must clothe itself with the imperishable, and THE MORTAL WITH IMMORTALITY. When the perishable has been clothed with the imperishable, and the mortal with immortality, then the saying that is written will come true: ‘DEATH HAS BEEN SWALLOWED UP in victory.’”
1 Corinthians 15:51-54.