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102102221200210 = 257114310928291079
BaseRepresentation
bin10111001101110010000110…
…101000000001101101010010
3111101111212200100101101100221
4113031302012220001231102
5101340320322111401320
61001053040214503254
730335433136413220
oct2715620650015522
9441455610341327
10102102221200210
112a595344082710
12b550117364b2a
1344c8276431baa
141b2dab971bb10
15bc0da69e03aa
hex5cdc86a01b52

102102221200210 has 128 divisors (see below), whose sum is σ = 236613013401600. Its totient is φ = 30798799153920.

The previous prime is 102102221200201. The next prime is 102102221200229. The reversal of 102102221200210 is 12002122201201.

It is a happy number.

It is a super-2 number, since 2×1021022212002102 (a number of 29 digits) contains 22 as substring.

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, 10536550 + ... + 17754529.

It is an arithmetic number, because the mean of its divisors is an integer number (1848539167200).

Almost surely, 2102102221200210 is an apocalyptic number.

102102221200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102102221200210 is an abundant number, since it is smaller than the sum of its proper divisors (134510792201390).

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

102102221200210 is a wasteful number, since it uses less digits than its factorization.

102102221200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28291256.

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

Adding to 102102221200210 its reverse (12002122201201), we get a palindrome (114104343401411).

The spelling of 102102221200210 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 43 55 70 77 86 109 110 154 215 218 301 385 430 473 545 602 763 770 946 1090 1199 1505 1526 2365 2398 3010 3311 3815 4687 4730 5995 6622 7630 8393 9374 11990 16555 16786 23435 32809 33110 41965 46870 51557 65618 83930 103114 164045 257785 328090 360899 515570 721798 1804495 3608990 28291079 56582158 141455395 198037553 282910790 311201869 396075106 622403738 990187765 1216516397 1556009345 1980375530 2178413083 2433032794 3083727611 3112018690 4356826166 6082581985 6167455222 8515614779 10892065415 12165163970 13381680367 15418638055 17031229558 21586093277 21784130830 26763360734 30837276110 33921003721 42578073895 43172186554 66908401835 67842007442 85156147790 93671762569 107930466385 132600287273 133816803670 169605018605 187343525138 215860932770 237447026047 265200574546 339210037210 468358812845 474894052094 663001436365 928202010911 936717625690 1187235130235 1326002872730 1458603160003 1856404021822 2374470260470 2917206320006 4641010054555 7293015800015 9282020109110 10210222120021 14586031600030 20420444240042 51051110600105 102102221200210