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221102121201122 = 27341271153118947
BaseRepresentation
bin110010010001011101011001…
…011001001010110111100010
31001222212011012222120111212102
4302101131121121022313202
5212440014121011413442
62102124525013530402
764400046452102000
oct6221353131126742
91058764188514772
10221102121201122
11644a4979330157
122096b0a5043a02
13964aac094ca75
143c85584d53a70
151a86590c2a232
hexc9175964ade2

221102121201122 has 128 divisors (see below), whose sum is σ = 397943652556800. Its totient is φ = 92040728976000.

The previous prime is 221102121201079. The next prime is 221102121201133.

221102121201122 is nontrivially palindromic in base 10.

221102121201122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211021212011222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102121201094 and 221102121201103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11669496053 + ... + 11669514999.

It is an arithmetic number, because the mean of its divisors is an integer number (3108934785600).

Almost surely, 2221102121201122 is an apocalyptic number.

221102121201122 is a deficient number, since it is larger than the sum of its proper divisors (176841531355678).

221102121201122 is a wasteful number, since it uses less digits than its factorization.

221102121201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20813 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 221102121201122 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 41 49 82 98 271 287 343 542 574 686 1531 1897 2009 3062 3794 4018 10717 11111 13279 14063 18947 21434 22222 26558 28126 37894 62771 75019 77777 92953 125542 132629 150038 155554 185906 265258 414901 439397 525133 544439 776827 829802 878794 928403 1050266 1088878 1553654 1856806 2904307 3075779 3811073 5134637 5437789 5808614 6151558 6498821 7622146 10269274 10875578 12997642 17010941 20330149 21530453 29007857 34021882 35942459 38064523 40660298 43060906 58015714 71884918 76129046 119076587 142311043 203054999 210520117 238153174 251597213 266451661 284622086 406109998 421040234 503194426 532903322 833536109 1189322137 1421384993 1473640819 1667072218 1761180491 2378644274 2842769986 2947281638 3522360982 5834752763 7861129247 8325254959 9949694951 10315485733 11669505526 15722258494 16650509918 19899389902 20630971466 55027904729 58276784713 72208400131 110055809458 116553569426 144416800262 322306299127 385195333103 407937492991 644612598254 770390666206 815874985982 2256144093889 2696367331721 4512288187778 5392734663442 15793008657223 31586017314446 110551060600561 221102121201122