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210102212112100 = 2252711211129317543
BaseRepresentation
bin101111110001011000111011…
…101110000010111011100100
31000112220120112101222120222021
4233301120323232002323210
5210014303312300041400
62022503342422512524
762153245451414050
oct5761307356027344
91015816471876867
10210102212112100
1160a43936424a90
121b693271895744
1390307273094b9
1439c50038c4c60
15194539252c71a
hexbf163bb82ee4

210102212112100 has 144 divisors (see below), whose sum is σ = 571115932240896. Its totient is φ = 65176041168000.

The previous prime is 210102212112053. The next prime is 210102212112167. The reversal of 210102212112100 is 1211212201012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63034072 + ... + 66283471.

It is an arithmetic number, because the mean of its divisors is an integer number (3966082862784).

Almost surely, 2210102212112100 is an apocalyptic number.

210102212112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102212112100 is an abundant number, since it is smaller than the sum of its proper divisors (361013720128796).

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

210102212112100 is a wasteful number, since it uses less digits than its factorization.

210102212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129317786 (or 129317779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210102212112100 its reverse (1211212201012), we get a palindrome (211313424313112).

The spelling of 210102212112100 in words is "two hundred ten trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 211 220 275 308 350 385 422 550 700 770 844 1055 1100 1477 1540 1925 2110 2321 2954 3850 4220 4642 5275 5908 7385 7700 9284 10550 11605 14770 16247 21100 23210 29540 32494 36925 46420 58025 64988 73850 81235 116050 147700 162470 232100 324940 406175 812350 1624700 129317543 258635086 517270172 646587715 905222801 1293175430 1422492973 1810445602 2586350860 2844985946 3232938575 3620891204 4526114005 5689971892 6465877150 7112464865 9052228010 9957450811 12931754300 14224929730 18104456020 19914901622 22630570025 27286001573 28449859460 35562324325 39829803244 45261140050 49787254055 54572003146 71124648650 90522280100 99574508110 109144006292 136430007865 142249297300 191002011011 199149016220 248936270275 272860015730 300146017303 382004022022 497872540550 545720031460 600292034606 682150039325 764008044044 955010055055 995745081100 1200584069212 1364300078650 1500730086515 1910020110110 2101022121121 2728600157300 3001460173030 3820040220220 4202044242242 4775050275275 6002920346060 7503650432575 8404088484484 9550100550550 10505110605605 15007300865150 19100201101100 21010221211210 30014601730300 42020442422420 52525553028025 105051106056050 210102212112100