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122110220200100 = 2252112311342712309
BaseRepresentation
bin11011110000111100000000…
…010011000110100010100100
3121000100121211012101012000212
4123300330000103012202210
5112001123212332400400
61111412354415154552
734502113043011406
oct3360740023064244
9530317735335025
10122110220200100
11359a9720994760
1211841941815a58
135319c37998752
142222248062b76
15e1b578c25335
hex6f0f004c68a4

122110220200100 has 144 divisors (see below), whose sum is σ = 304305731936640. Its totient is φ = 42097250764800.

The previous prime is 122110220199973. The next prime is 122110220200121. The reversal of 122110220200100 is 1002022011221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18497255 + ... + 24215054.

It is an arithmetic number, because the mean of its divisors is an integer number (2113234249560).

Almost surely, 2122110220200100 is an apocalyptic number.

122110220200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110220200100 is an abundant number, since it is smaller than the sum of its proper divisors (182195511736540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122110220200100 is a wasteful number, since it uses less digits than its factorization.

122110220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42712470 (or 42712463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122110220200100 its reverse (1002022011221), we get a palindrome (123112242211321).

The spelling of 122110220200100 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 113 115 220 226 230 253 275 452 460 506 550 565 575 1012 1100 1130 1150 1243 1265 2260 2300 2486 2530 2599 2825 4972 5060 5198 5650 6215 6325 10396 11300 12430 12650 12995 24860 25300 25990 28589 31075 51980 57178 62150 64975 114356 124300 129950 142945 259900 285890 571780 714725 1429450 2858900 42712309 85424618 170849236 213561545 427123090 469835399 854246180 939670798 982383107 1067807725 1879341596 1964766214 2135615450 2349176995 3929532428 4271230900 4698353990 4826490917 4911915535 9396707980 9652981834 9823831070 10806214177 11745884975 19305963668 19647662140 21612428354 23491769950 24132454585 24559577675 43224856708 46983539900 48264909170 49119155350 53091400087 54031070885 96529818340 98238310700 106182800174 108062141770 111009291091 120662272925 212365600348 216124283540 222018582182 241324545850 265457000435 270155354425 444037164364 482649091700 530914000870 540310708850 555046455455 1061828001740 1080621417700 1110092910910 1221102202001 1327285002175 2220185821820 2442204404002 2654570004350 2775232277275 4884408808004 5309140008700 5550464554550 6105511010005 11100929109100 12211022020010 24422044040020 30527555050025 61055110100050 122110220200100