The possibility is discussed of using optical laser radiation with a flux density of > 10²⁰ W cm⁻² to create an ultraintense X-ray source capable of producing polychromatic radiation with a power flux density of 10¹⁹ W cm⁻² or higher. The X-ray radiation of so high an intensity permits not only transforming a condensed target to a plasma state but also obtaining an exotic plasma state with a high density of hollow ions. Currently still not in wide use and available in only a few laboratories in the world, lasers with a flux density of about 10²⁰ W cm⁻² are more compact and lower-cost compared to free-electron X-ray lasers or lasers used for the indirect heating of fusion targets. The source under discussion can produce by far higher X-ray intensities than plasma X-ray lasers of a similar scale.