Here's a few verses to add to what has been said.
"He is before all things, and in him all things hold together"
"For in him we live and move and have our being."
"Very truly I tell you," Jesus answered, "before Abraham was born, I am!"
"But who is able to build a temple for him,
since the heavens, even the highest heavens,
cannot contain him? ...
2 Chronicles 2:6
"I am the Alpha and the Omega,
the first and the last,
the beginning and the end."
These verses show among other things God is not just everywhere(he has to be everywere if the Heavens of Heaven cannot contain Him, also elsewere The whole earth is filled with His glory). It shows He is everytime as well "Before Abraham was I AM" in the context was demonstrating that Jesus is God, but also denoting that He is in a state of presently exsisting (I am) in the past (before Abraham was). And also I AM the Alpha and the Omega, not I Was the alpha and will be the Omega. Not I was the first and will be the last.
“With man this is impossible, but with God all things are possible.”
"I can do all things through Christ who strengthens me."
It's pretty clear, is anything left out when He said All things? No.
"Do you not know? Have you not heard? The LORD is the everlasting God, the Creator of the ends of the earth. He will not grow tired or weary, and his understanding no one can fathom" (Isaiah 40:28)
"Nothing in all creation is hidden from God's sight. Everything is uncovered and laid bare before the eyes of him to whom we must give account."
Apart from the other scriptures that talk about His knowledge and Wisdom, if we had none of them we could infer from his attributes of being everywhere at every time and being all powerful that He would have to know everything since He created all things and all things are in Him.
"Greater love has no one than this, that one lay down his life for his friends."
"For God so Loved the world, that He gave His only begotten son, that whosoever believes in Him, shall not parish but have everlasting life."
"He that loves not knows not God; for God is love."
1 John 4:8
"Neither is worshiped with men's hands, as though he needed anything,
seeing he gives to all life, and breath, and all things;"
God is not just all loving He is Love itself.