We start by calculating the numerator of the expression, which is given by:
\[ 10.001^2 + 100 \]
Calculating \(10.001^2\) gives approximately \(100.020001\). Adding \(100\) results in:
\[ \text{Numerator} = 100.020001 + 100 = 200.020001 \]
Next, we calculate the denominator:
\[ 10.001 - 10 \]
This simplifies to:
\[ \text{Denominator} = 0.001 \]
Now, we divide the numerator by the denominator:
\[ \frac{200.020001}{0.001} = 200020.001 \]
Thus, the final result of the expression is:
\[ \boxed{200020.001} \]
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