You can see the number of UTXOs that you have in the Coin Control dialog.
where? when i enable the Coin Control dialog in options i can see the addresses and the balance each holds.
https://i.imgur.com/PIcCK7z.pngYou cropped the parts that matter in the screenshot but yeah, if you just click select all in the Coin Control dialog, you will see the Quantity. That is the number of UTXOs you have.