A question about an integral of complex variable function

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$$∫_{(|z|=1)}z^{e^{z}/100}dz$$ Let $z=e^{i\theta}$,then it becomes

$$i∫_{-\pi}^{\pi}(e^{i\theta})^{\frac{e^{e^{i\theta}}}{100}}e^{i\theta}d\theta$$ But I don't know how to calculate it. Hope for your help. Thanks.