Using reflection, you can invoke a private constructor:
Constructor<Util> c = Utils.class.getDeclaredConstructor();
c.setAccessible(true);
Utils u = c.newInstance(); // Hello sailor
However, you can make even that not possible:
private Utils() {
throw new UnsupportedOperationException();
}
By throwing an exception in the constructor, you prevent all attempts.
I would make the class itself final
too, just "because":
public final class Utils {
private Utils() {
throw new UnsupportedOperationException();
}
}