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100121020011219 = 367103113241311571
BaseRepresentation
bin10110110000111100111101…
…110101010001001011010011
3111010111110212000211002010110
4112300330331311101023103
5101110340322110324334
6552534543413332403
730042335132232264
oct2660747565211323
9433443760732113
10100121020011219
11299a10a4712879
12b29015b037103
1343b34aa755a3c
141aa1c517d496b
15b8959e0aaae9
hex5b0f3dd512d3

100121020011219 has 128 divisors (see below), whose sum is σ = 139274973167616. Its totient is φ = 63949906944000.

The previous prime is 100121020011217. The next prime is 100121020011223. The reversal of 100121020011219 is 912110020121001.

It is not a de Polignac number, because 100121020011219 - 21 = 100121020011217 is a prime.

It is a super-2 number, since 2×1001210200112192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121020011195 and 100121020011204.

It is not an unprimeable number, because it can be changed into a prime (100121020011217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175343292204 + ... + 175343292774.

It is an arithmetic number, because the mean of its divisors is an integer number (1088085727872).

Almost surely, 2100121020011219 is an apocalyptic number.

100121020011219 is a deficient number, since it is larger than the sum of its proper divisors (39153953156397).

100121020011219 is a wasteful number, since it uses less digits than its factorization.

100121020011219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 100121020011219 in words is "one hundred trillion, one hundred twenty-one billion, twenty million, eleven thousand, two hundred nineteen".

Divisors: 1 3 67 103 113 201 241 309 311 339 571 723 933 1713 6901 7571 11639 16147 20703 20837 22713 24823 27233 32033 34917 35143 38257 48441 58813 62511 64523 74469 74951 81699 96099 105429 114771 137611 176439 177581 193569 224853 412833 532743 779813 1663141 1824611 2146211 2339439 2354581 2804999 3619729 3940471 4323041 4989423 5021717 5473833 6438633 6645869 7063743 7719953 8414997 8469463 9219937 10859187 11821413 11897927 12969123 14173933 15065151 15550043 18290843 19937607 20066653 23159859 25408389 27659811 35693781 42521799 42797021 46650129 54872529 60199959 128391063 187934933 242521843 445273223 517236851 563804799 567454021 727565529 872354689 949653511 1041852881 1225486481 1335819669 1344465751 1551710553 1601654429 1702362063 2066865259 2617064067 2848960533 2867400407 3125558643 3676459443 4033397253 4408093163 4804963287 4836063373 6200595777 8602201221 13224279489 14508190119 58447764163 107310846743 138479972353 175343292489 295342241921 321932540229 324016245991 415439917059 498114527419 886026725763 972048737973 1494343582257 33373673337073 100121020011219