10:10•20-2+200-100:20=?

To solve the expression \(10:10 \cdot 20 - 2 + 200 - 100:20\), we need to follow the order of operations (PEMDAS/BODMAS):

1. Division and Multiplication from left to right
2. Addition and Subtraction from left to right

Now let's break it down step by step:

1. Calculate \(10:10\), which is \(1\).
2. Calculate \(100:20\), which is \(5\).

Now substitute those back into the expression:

\[ 1 \cdot 20 - 2 + 200 - 5 \]

Now calculate \(1 \cdot 20\):

\[ 20 - 2 + 200 - 5 \]

Next, perform the operations from left to right:

\[ 20 - 2 = 18 \] \[ 18 + 200 = 218 \] \[ 218 - 5 = 213 \]

So, the final answer is:

\[ \boxed{213} \]