Key Verses

1. 2:255Al-Baqarah
   ٱللَّهُ لَآ إِلَٰهَ إِلَّا هُوَ ٱلۡحَيُّ ٱلۡقَيُّومُۚ لَا تَأۡخُذُهُۥ سِنَةٞ وَلَا نَوۡمٞۚ لَّهُۥ مَا فِي ٱلسَّمَٰوَٰتِ وَمَا فِي ٱلۡأَرۡضِۗ مَن ذَا ٱلَّذِي يَشۡفَعُ عِندَهُۥٓ إِلَّا بِإِذۡنِهِۦۚ يَعۡلَمُ مَا بَيۡنَ أَيۡدِيهِمۡ وَمَا خَلۡفَهُمۡۖ وَلَا يُحِيطُونَ بِشَيۡءٖ مِّنۡ عِلۡمِهِۦٓ إِلَّا بِمَا شَآءَۚ وَسِعَ كُرۡسِيُّهُ ٱلسَّمَٰوَٰتِ وَٱلۡأَرۡضَۖ وَلَا يَـُٔودُهُۥ حِفۡظُهُمَاۚ وَهُوَ ٱلۡعَلِيُّ ٱلۡعَظِيمُ
   Allah! There is no deity save Him, the Alive, the Eternal. Neither slumber nor sleep overtaketh Him. Unto Him belongeth whatsoever is in the heavens and whatsoever is in the earth. Who is he that intercedeth with Him save by His leave? He knoweth that which is in front of them and that which is behind them, while they encompass nothing of His knowledge save what He will. His throne includeth the heavens and the earth, and He is never weary of preserving them. He is the Sublime, the Tremendous.
   In context

   Allah is the One Who alone deserves to be worshipped. He is the One who lives perfectly without any death or deficiency. He exists by Himself and is not in need of any of His creation. The creation only exists through Him and is always in need of Him. Drowsiness or sleep does not come upon Him due to the perfection of His life and existence. He alone controls the heavens and the earth.

2. 3:2Aali ImranPromise
   ٱللَّهُ لَآ إِلَٰهَ إِلَّا هُوَ ٱلۡحَيُّ ٱلۡقَيُّومُ
   Allah! There is no god save Him, the Alive, the Eternal.
   In context

   Allah is the One Who alone deserves to be worshipped. He is the One Who lives perfectly without any death or deficiency. He exists by Himself and is not in need of any of His creation. The creation only exists through Him and is always in need of Him.

3. 20:111Ta-Ha
   ۞وَعَنَتِ ٱلۡوُجُوهُ لِلۡحَيِّ ٱلۡقَيُّومِۖ وَقَدۡ خَابَ مَنۡ حَمَلَ ظُلۡمٗا
   And faces humble themselves before the Living, the Eternal. And he who beareth (a burden of) wrongdoing is indeed a failure (on that day).
   In context

   The faces of the servants will humble and surrender before the Eternal One who does not die and who takes care of the affairs of His servants by managing and administering them. And the one Who carried sin has lost, due to his taking himself to places of destruction.