Rarely done because two chokes are needed.
Note that the cap is a 100% bypass for high frequencies. You notch 100/120Hz at the expense of all higher harmonics. That are right in the middle of the peak of hearing.
Would be okay in a choke-input filter I suppose. But again, two chokes, why bother? Just make the one slightly bigger.
More generally, you can make an elliptic filter which has as many zeroes as poles: rather than the attenuation dropping off asymptotically, the response is shelved, the stopband attenuation is not asymptotic (it's not flat either, there are, well, zeroes in it; but the maximum value reached between zeroes is as specified).
Or more generally still, you can consider a hybrid filter type that has some zeroes -- usually strategically located -- and more poles, so it's still asymptotic but not as aggressively as an all-pole filter, and has better performance given the signal source.
Typical applications are ADC/DAC antialiasing filters, where the zeroes are placed over harmonics, giving better image rejection and somewhat higher bandwidth for the same attenuation.
Note: poles and zeroes are mathematical abstracts, but typical implementation is an LC ladder filter, where each component contributes a pole. Zeroes are implemented by putting a cap in parallel with an inductor, or an inductor in series with a cap.
Tim