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102122000221010 = 2573118011337867
BaseRepresentation
bin10111001110000100100001…
…100011000000001101010010
3111101120202201210002202010212
4113032010201203000031102
5101341131324024033020
61001110111011524122
730340033236335000
oct2716044143001522
9441522653082125
10102122000221010
112a5a277389a7a0
12b553b172b9642
1344ca0a90b84b3
141b30a3451da70
15bc166315acc5
hex5ce1218c0352

102122000221010 has 128 divisors (see below), whose sum is σ = 233884663142400. Its totient is φ = 31826166321600.

The previous prime is 102122000220817. The next prime is 102122000221039. The reversal of 102122000221010 is 10122000221201.

102122000221010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 302086097 + ... + 302423963.

It is an arithmetic number, because the mean of its divisors is an integer number (1827223930800).

Almost surely, 2102122000221010 is an apocalyptic number.

102122000221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122000221010 is an abundant number, since it is smaller than the sum of its proper divisors (131762662921390).

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

102122000221010 is a wasteful number, since it uses less digits than its factorization.

102122000221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345917 (or 345903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122000221010 its reverse (10122000221201), we get a palindrome (112244000442211).

The spelling of 102122000221010 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 343 385 490 539 686 770 1078 1715 2695 3430 3773 5390 7546 8011 16022 18865 37730 40055 56077 80110 88121 112154 176242 280385 337867 392539 440605 560770 616847 675734 785078 881210 1233694 1689335 1962695 2365069 2747773 3084235 3378670 3716537 3925390 4317929 4730138 5495546 6168470 7433074 8635858 11825345 13738865 16555483 18582685 21589645 23650690 26015759 27477730 30225503 33110966 37165370 43179290 52031518 60451006 82777415 115888381 130078795 151127515 165554830 182110313 231776762 260157590 302255030 364220626 579441905 910551565 1158883810 1274772191 1821103130 2549544382 2706652537 5413305074 6373860955 12747721910 13533262685 18946567759 27066525370 29773177907 37893135518 59546355814 94732838795 132625974313 148865889535 189465677590 208412245349 265251948626 297731779070 416824490698 663129871565 928381820191 1042061226745 1326259743130 1458885717443 1856763640382 2084122453490 2917771434886 4641909100955 7294428587215 9283818201910 10212200022101 14588857174430 20424400044202 51061000110505 102122000221010