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Preheat oven to 350 degrees F.
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Grease and flour a 9" bundt pan.
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In a separate bowl, whisk together the flour, cornstarch, and baking powder. Set aside.
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Bring a small pot of water to a boil and blanch the apricots (boil apricots for 2 minutes, then transfer them to a bowl of ice water)
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Peel the apricots, discard the pits, and cut the fruit flesh into small pieces.
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Toss the apricot pieces with 2 tablespoons of the granulated sugar and set aside. Let cool completely.
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Separate the eggs. Beat the egg whites with a pinch of salt. When the mixture becomes foamy, add 2 tablespoons of sugar. Stop the mixer when stiff peaks form.
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Separately, beat the rest of the sugar together with the butter until creamy (about 3 minutes on medium-high speed)
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Beat in the egg yolks. Stop the mixer, scrape down the sides of the bowl, and beat again for a few seconds.
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Beat in half the combined dry ingredients. Mix in the milk and then beat in the other half of the dry ingredients.
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Scrape down the sides of the bowl and beat again for a few seconds.
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Fold in the egg white mixture and then gently mix in the marzipan pieces.
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Pour half the batter into the prepared Bundt pan.
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Distribute the sugared apricots over the top of the batter and pour the rest of the batter over the apricots.
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Place the pan in the oven and bake for 30 minutes.
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Check the cake; if the top is nicely browned but a knife inserted in the middle does not come out clean. Cover the top of the cake with aluminum foil and bake for another 10 minutes.
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Remove the pan from the oven and let the cake cool in the pan for 15 minutes.
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Remove the cake from the pan and transfer to a wire rack placed over a baking sheet lined with parchment paper, and let cool completely.
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Whisk together the orange juice and powdered sugar, one tablespoon at a time, until the mixture becomes the consistency of a pourable glaze. Add more orange juice or water if the glaze is too thick.
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Pour the glaze over the top of the cake. Sprinkle the chopped pistachios over the wet glaze.
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When the glaze has hardened, transfer the cake to a serving platter. Cut and serve.