The expected stock market debut of artificial intelligence giant Anthropic, a chief rival to OpenAI, could break the record set by SpaceX, according to recent U.S. media reports.

Elon Musk's space company went public in June at a value of $1.77 trillion and raised $85.7 billion in its blockbuster initial public offering (IPO), the largest in history.

Anthropic, maker of the Claude AI models, "expects to match or beat the size" of SpaceX's deal, according to Bloomberg.

The company's bankers have told the potential investors it could seek to raise "more than $100 billion" in its IPO, which could put the company's value at $2 trillion, The New York Times (NYT) reported Friday, citing two unnamed sources with knowledge of the talks.

That would more than double the five-year-old company's previous valuation at $965 billion, reached in its last funding round in June.