Waste: on site storage. After the plant decommission, the Department of Energy has the responsibility of finding a long-term solution. The cost for the long term solution was prepaid in the form of the Nuclear Waste Fund [1], which currently has about $45 BN. The Yucca Mountain was indeed de facto cancelled, but in May this year (2021) the Biden administration stated that it will announce a new disposal plan in the coming months [2].

Insurance: currently nuclear power plants are obligated by law to buy insurance. The current scheme covers liabilities up to $13 BN [3].

[1] https://en.wikipedia.org/wiki/Nuclear_Waste_Policy_Act#Nucle...

[2] https://www.wsj.com/articles/escape-from-yucca-mountain-bide...

[3] https://www.nrc.gov/reading-rm/doc-collections/fact-sheets/n...