There is no such thing as a "quatrillion" (or a "qua trillion" for that matter). Perhaps you are thinking of a "quadrillion"?.
What comes after quadrillions would be quintillions.
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Quadrillion comes after trillion. If you add one to a trillion, the number becomes a trillion and one, a trillion and two, etc.
A trillion and 1
A trillion and one.
Quadrillion comes after a trillion. There are 15 zeroes in a quadrillion. There are 12 zeroes in a trillion.
A quadrillion, which is equal to 1000 trillion.