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101112021112102 = 271113241635332987
BaseRepresentation
bin10110111111010111111010…
…000110011101010100100110
3111021000012210121020001201121
4112333113322012131110212
5101223104404401041402
6555014115442244154
730204050066503660
oct2677277206352446
9437005717201647
10101112021112102
112a243404a29660
12b41022b35665a
134455a905683b0
141ad7bc2a31530
15ba52507b1837
hex5bf5fa19d526

101112021112102 has 128 divisors (see below), whose sum is σ = 204521554879488. Its totient is φ = 36206278041600.

The previous prime is 101112021112099. The next prime is 101112021112147. The reversal of 101112021112102 is 201211120211101.

It is a super-4 number, since 4×1011120211121024 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

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, 3065191653 + ... + 3065224639.

It is an arithmetic number, because the mean of its divisors is an integer number (1597824647496).

Almost surely, 2101112021112102 is an apocalyptic number.

101112021112102 is an abundant number, since it is smaller than the sum of its proper divisors (103409533767386).

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

101112021112102 is a wasteful number, since it uses less digits than its factorization.

101112021112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39614.

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

Adding to 101112021112102 its reverse (201211120211101), we get a palindrome (302323141323203).

The spelling of 101112021112102 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 241 286 482 1001 1687 2002 2651 3133 3374 5302 6266 6353 12706 18557 21931 32987 34463 37114 43862 44471 65974 68926 69883 82589 88942 139766 165178 230909 241241 362857 428831 461818 482482 489181 578123 725714 857662 908479 978362 1156246 1531073 1816958 2539999 3001817 3062146 4717141 5079998 6003634 6359353 7949867 9434282 10717511 12718706 15899734 16841803 19903949 21435022 33019987 33683606 39807898 55649069 66039974 87448537 103348271 111298138 117892621 139327643 174897074 206696542 209566411 218943439 235785242 278655286 419132822 437886878 612139759 723437897 1136830981 1224279518 1446875794 1466964877 1532604073 2273661962 2305230521 2724363343 2933929754 3065208146 4610461042 5448726686 7957816867 15915633734 16136613647 19070543401 29967996773 32273227294 38141086802 50505505051 59935993546 101011010102 209775977411 353538535357 419551954822 555560555561 656571565663 707077070714 1111121111122 1313143131326 3888923888927 4596000959641 7222287222293 7777847777854 9192001919282 14444574444586 50556010556051 101112021112102