Resistors: (as a complementary answer on them)
You may want to choose resistors if you are looking for simple results without efficiency a priority.
Note that these leds may not be be flashlight material, you can run these at a higher current at your own risk (may ruin them quickly) near maximum or purchase a higher powered LED.
Calculations:
Assuming you are using a typical orange LED with 2 volt drop and 25 mA typical forward current (check datasheets* if you have them on your LED) you should be able to calculate a series resistor value with the following:
$$\frac{V_{in} - V_{forward}}{I} = \frac{3-2}{0.025} = 40\Omega$$
Any voltage higher than the forward voltage will require a series resistor, this is why we subtract the forward voltage. The closest resistor value that you may find is 47 Ohms, these are usually rated at +/- 5% so it is close enough.
Circuit:
Then i have another question: to prevent that one broken LED will make the whole system useless, can i simply link them together as a parallel cirquit?
Yes, you may have something such as this in the end:

If one LED blows it will not generally cause the others to become brighter, and so you are safe. LEDs should not blow when run under proper conditions (temperatures, etc.) and should outlive the rest of the components at the very least.
You can have a single series resistor to do all of this in fact:

There are two major issues:
- Resistance must be inversely proportional to the number of LEDs. 120 / 5 = 24 ohms for
R1
here, and R1
will dissipate E^2/R = 0.375
Watts! It must be rated above this, normal resistors may smoke up.
- If one LED does blow, it will in fact let the others take its current in its place. This can cause a surge in current to one if the others were to fail somehow.
I only mention this for completeness.
Feel free to upload a schematic along with chosen resistor values (i.e. if you wish to try it at 30mA, modify resistor values to compensate for that.)
As well measure the maximum current draw (i.e. 200mA, 500mA) as to determine the appropriate amount of batteries required, D-cell batteries can usually supply these currents without too much issue.
*An example LED datasheet: 5mm orange LED
30mA
each, the resistor (assuming 3V not 9V), Vdrop of an Orange LED typically 2, will dissipate1V / 39 Ohms = 0.026W
(less than 1/4W) which is not bad at all. It is amplified to 260mW if you use ten LEDs in parallel, which is fairly significant for battery life. A constant current source is somewhat a lot more simple than Olin's example (no board required, just hand wiring). There may be premade ones, but they are specific and may only be for certain LED's (i.e. Cree) \$\endgroup\$