Answer
An IQ of $132$
Work Step by Step
An IQ that is $2$ standard deviations above the mean, that is, an IQ with $z=2$:
$z=\frac{y-\mu}{\rho}$
$y=\mu+z\times\rho=100+2\times16=132$
The answer is an IQ of $132$.
Values that are more than $2$ standard deviations from the mean are considered unusual because they occur in less than $5\%$ of the cases in a normal distribution.
