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12102120102111 = 31321793313791063
BaseRepresentation
bin1011000000011011111010…
…0100011101100011011111
31120211221200120001210101120
42300012332210131203133
53041240120221231421
641423345350142023
72356230550400514
oct260067644354337
946757616053346
1012102120102111
113946531329006
12143557b651913
1369a2c0507c00
142dba6243d30b
1515ec0d3438c6
hexb01be91d8df

12102120102111 has 96 divisors (see below), whose sum is σ = 17686703462400. Its totient is φ = 7357069399680.

The previous prime is 12102120102109. The next prime is 12102120102151. The reversal of 12102120102111 is 11120102120121.

It is a happy number.

It is not a de Polignac number, because 12102120102111 - 21 = 12102120102109 is a prime.

It is a super-2 number, since 2×121021201021112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102120102151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11384872566 + ... + 11384873628.

It is an arithmetic number, because the mean of its divisors is an integer number (184236494400).

Almost surely, 212102120102111 is an apocalyptic number.

12102120102111 is a deficient number, since it is larger than the sum of its proper divisors (5584583360289).

12102120102111 is a wasteful number, since it uses less digits than its factorization.

12102120102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1968 counting only the distinct ones).

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

Adding to 12102120102111 its reverse (11120102120121), we get a palindrome (23222222222232).

The spelling of 12102120102111 in words is "twelve trillion, one hundred two billion, one hundred twenty million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 13 39 169 179 331 379 507 537 993 1063 1137 2327 3189 4303 4927 6981 12909 13819 14781 30251 41457 55939 59249 64051 67841 90753 125449 167817 177747 179647 190277 192153 203523 351853 376347 402877 538941 570831 770237 881933 1055559 1208631 1630837 2310711 2473601 2645799 4574089 4892511 5237401 7420803 10013081 11465129 13722267 15712203 21200881 22455371 30039243 32156813 34395387 59463157 62981687 63602643 67366113 68086213 72114983 96470439 133352287 178389471 188945061 204258639 216344949 291919823 400056861 818761931 875759469 937494779 1733579731 2456285793 2812484337 3794957699 5200739193 10643905103 11384873097 12187432127 22536536503 23870059373 31931715309 36562296381 67609609509 71610178119 310310771849 930932315547 4034040034037 12102120102111