In 98% of cases "impervious to" is used
They are impervious to new data.
Nearly impervious to the weather.
No one is impervious to an affair.
One who has attained to them and dwells in them is impervious to the ills of life.
Yours is the certainty of the true believer --- impervious to a fact-based reality.
But Piano seems impervious to both the weather and the lightning bolts of criticism.
But for many years after the first missionaries came in 1814 they remained impervious to the Christian religion.
It was coming home to Bert, as though it were an entirely new fact, that Tom was singularly impervious to ideas.
The rivals have remained impervious to the criticism and opposition of their clash since it was announced in May.
The Germans had designed the sites to be impervious to bomber attacks, much like the famous hardened U-boat pens.
In 1% of cases "impervious from" is used
I will admit that they provide a stronger position -- however, it is not impervious from question, error or improvement.
In 1% of cases "impervious in" is used
Becoming impervious in that way is one of those.
They exist, impervious in our society, simply because we lack the will to oppose them.
This permanent repository will still have to be impervious in the year 8010, not to mention the year 308,010.