https://calcounselgroup.com/business-stockholder/
"As a Delaware corporation, all of the company’s stockholders (including minority stockholders) have the right to inspect and make copies of the company’s stock ledger and its books and records upon a written demand to the company. The stockholder’s inspection rights also apply to the company’s subsidiaries. Although Delaware corporate law does not specify the types of books and records that the stockholders may inspect, these rights extend, at a minimum, to the company’s financial records and corporate minute book."
Note that there are complicated ways that that more options might appear, depending on the company (e.g. sometimes debt can convert to equity) that they might be a bit more hesitant to talk about, but they should be pretty open about the total number of shares currently outstanding.