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102212220100210 = 2511191012292114461
BaseRepresentation
bin10111001111011000100011…
…000100100001111001110010
3111101220101121100201110211021
4113033120203010201321302
5101344121111321201320
61001215351245010054
730346406045552533
oct2717304304417162
9441811540643737
10102212220100210
112a627a60641330
12b5694b585392a
1345057566351bc
141b351526d668a
15bc3b9396bdaa
hex5cf623121e72

102212220100210 has 128 divisors (see below), whose sum is σ = 214294803206400. Its totient is φ = 34710975360000.

The previous prime is 102212220100181. The next prime is 102212220100259. The reversal of 102212220100210 is 12001022212201.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 47282380 + ... + 49396840.

It is an arithmetic number, because the mean of its divisors is an integer number (1674178150050).

Almost surely, 2102212220100210 is an apocalyptic number.

102212220100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212220100210 is an abundant number, since it is smaller than the sum of its proper divisors (112082583106190).

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

102212220100210 is a wasteful number, since it uses less digits than its factorization.

102212220100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114828.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212220100210 its reverse (12001022212201), we get a palindrome (114213242312411).

The spelling of 102212220100210 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, one hundred thousand, two hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 101 110 190 202 209 229 418 458 505 1010 1045 1111 1145 1919 2090 2222 2290 2519 3838 4351 5038 5555 8702 9595 11110 12595 19190 21109 21755 23129 25190 42218 43510 46258 47861 95722 105545 115645 211090 231290 239305 254419 439451 478610 508838 878902 1272095 2114461 2197255 2544190 4228922 4394510 4833961 9667922 10572305 21144610 23259071 24169805 40174759 46518142 48339610 80349518 116295355 200873795 213560561 232590710 401747590 427121122 441922349 484211569 883844698 968423138 1067802805 2135605610 2209611745 2349166171 2421057845 4057650659 4419223490 4698332342 4842115690 5326327259 8115301318 9200019811 10652654518 11745830855 18400039622 20288253295 23491661710 26631636295 40576506590 44634157249 46000099055 48905368469 53263272590 89268314498 92000198110 97810736938 101200217921 202400435842 223170786245 244526842345 446341572490 489053684690 506001089605 537959053159 929202000911 1012002179210 1075918106318 1858404001822 2689795265795 4646010004555 5379590531590 9292020009110 10221222010021 20442444020042 51106110050105 102212220100210