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111221000102121 = 371317375231238431
BaseRepresentation
bin11001010010011110101000…
…001100111110000011101001
3112120210121211201122121112120
4121102132220030332003221
5104034221102011231441
61032314115545301453
732266311031244250
oct3122365014760351
9476717751577476
10111221000102121
113249061a039888
121058345ba94889
134a0a1315085a0
141d671a74c7797
15ccd1a7d6a966
hex6527a833e0e9

111221000102121 has 128 divisors (see below), whose sum is σ = 198855481982976. Its totient is φ = 53620016394240.

The previous prime is 111221000102119. The next prime is 111221000102131. The reversal of 111221000102121 is 121201000122111.

It is a happy number.

It is not a de Polignac number, because 111221000102121 - 21 = 111221000102119 is a prime.

It is a super-2 number, since 2×1112210001021212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111221000102121.

It is not an unprimeable number, because it can be changed into a prime (111221000102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89188776 + ... + 90427206.

It is an arithmetic number, because the mean of its divisors is an integer number (1553558452992).

Almost surely, 2111221000102121 is an apocalyptic number.

It is an amenable number.

111221000102121 is a deficient number, since it is larger than the sum of its proper divisors (87634481880855).

111221000102121 is a wasteful number, since it uses less digits than its factorization.

111221000102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239031.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111221000102121 its reverse (121201000122111), we get a palindrome (232422000224232).

The spelling of 111221000102121 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 259 273 357 481 523 629 663 777 1443 1547 1569 1887 3367 3661 4403 4641 6799 8177 8891 10101 10983 13209 19351 20397 24531 26673 47593 57239 58053 62237 115583 135457 142779 171717 186711 251563 328967 346749 406371 754689 809081 986901 1238431 1760941 2302769 2427243 3715293 4276571 5282823 6908307 8669017 12829713 16099603 21053327 26007051 29935997 45821947 48298809 63159981 89807991 112697221 137465841 147373289 273693251 320753629 338091663 442119867 595685311 647699413 778973099 821079753 962260887 1787055933 1915852757 1943098239 2336919297 4169797177 4533895891 5452811693 5747558271 8420092369 10126650287 11010890021 12509391531 13601687673 16358435079 23964878281 25260277107 30379950861 33032670063 58940646583 70886552009 71894634843 77076230147 143141570273 167754147967 176821939749 212659656027 231228690441 311543417653 407402930777 429424710819 503262443901 934630252959 1001990991911 1222208792331 2180803923571 2851820515439 3005972975733 5296238100101 6542411770713 8555461546317 15888714300303 37073666700707 111221000102121