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102111010201110 = 235174735911866157
BaseRepresentation
bin10111001101111010010010…
…011111011001111000010110
3111101112201100212102220000210
4113031322102133121320112
5101340441322102413420
61001101052301350250
730336164010606441
oct2715722237317026
9441481325386023
10102111010201110
112a599044259119
12b55196a868386
1344c9047276641
141b302b0aca658
15bc121d3dd9e0
hex5cde927d9e16

102111010201110 has 128 divisors (see below), whose sum is σ = 265741184471040. Its totient is φ = 25012717697024.

The previous prime is 102111010201073. The next prime is 102111010201139. The reversal of 102111010201110 is 11102010111201.

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, 2672152 + ... + 14538308.

It is an arithmetic number, because the mean of its divisors is an integer number (2076103003680).

Almost surely, 2102111010201110 is an apocalyptic number.

102111010201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111010201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132870592235520).

102111010201110 is an abundant number, since it is smaller than the sum of its proper divisors (163630174269930).

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

102111010201110 is a wasteful number, since it uses less digits than its factorization.

102111010201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866590.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102111010201110 its reverse (11102010111201), we get a palindrome (113213020312311).

The spelling of 102111010201110 in words is "one hundred two trillion, one hundred eleven billion, ten million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 359 470 510 705 718 799 1077 1410 1598 1795 2154 2397 3590 3995 4794 5385 6103 7990 10770 11985 12206 16873 18309 23970 30515 33746 36618 50619 61030 84365 91545 101238 168730 183090 253095 286841 506190 573682 860523 1434205 1721046 2868410 4302615 8605230 11866157 23732314 35598471 59330785 71196942 118661570 177992355 201724669 355984710 403449338 557709379 605174007 1008623345 1115418758 1210348014 1673128137 2017246690 2788546895 3025870035 3346256274 4259950363 5577093790 6051740070 8365640685 8519900726 9481059443 12779851089 16731281370 18962118886 21299751815 25559702178 28443178329 42599503630 47405297215 56886356658 63899255445 72419156171 94810594430 127798510890 142215891645 144838312342 200217667061 217257468513 284431783290 362095780855 400435334122 434514937026 600653001183 724191561710 1001088335305 1086287342565 1201306002366 2002176670610 2172574685130 3003265005915 3403700340037 6006530011830 6807400680074 10211101020111 17018501700185 20422202040222 34037003400370 51055505100555 102111010201110