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102100201210 = 25741251271523
BaseRepresentation
bin101111100010110100…
…1010110111011111010
3100202112112112121200201
41133011221112323322
53133100122414320
6114523145352414
710243065251050
oct1370551267372
9322475477621
10102100201210
113a3339a1387
121795519870a
13982196b057
144d27d601d0
1529c87e170a
hex17c5a56efa

102100201210 has 128 divisors (see below), whose sum is σ = 217226354688. Its totient is φ = 33825600000.

The previous prime is 102100201193. The next prime is 102100201243. The reversal of 102100201210 is 12102001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 195220009 + ... + 195220531.

It is an arithmetic number, because the mean of its divisors is an integer number (1697080896).

Almost surely, 2102100201210 is an apocalyptic number.

102100201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100201210 is an abundant number, since it is smaller than the sum of its proper divisors (115126153478).

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

102100201210 is a wasteful number, since it uses less digits than its factorization.

102100201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100201210 its reverse (12102001201), we get a palindrome (114202202411).

Subtracting from 102100201210 its reverse (12102001201), we obtain a square (89998200009 = 2999972).

The spelling of 102100201210 in words is "one hundred two billion, one hundred million, two hundred one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 251 271 287 410 502 523 542 574 1046 1255 1355 1435 1757 1897 2510 2615 2710 2870 3514 3661 3794 5230 7322 8785 9485 10291 11111 17570 18305 18970 20582 21443 22222 36610 42886 51455 55555 68021 72037 77777 102910 107215 111110 131273 136042 141733 144074 150101 155554 214430 262546 283466 300202 340105 360185 388885 476147 656365 680210 708665 720370 750505 777770 918911 952294 992131 1312730 1417330 1501010 1837822 1984262 2380735 2788861 4594555 4761470 4960655 5382193 5577722 5811053 9189110 9921310 10764386 11622106 13944305 19522027 26910965 27888610 29055265 35574983 37675351 39044054 40677371 53821930 58110530 71149966 75350702 81354742 97610135 177874915 188376755 195220270 203386855 249024881 355749830 376753510 406773710 498049762 1245124405 1458574303 2490248810 2917148606 7292871515 10210020121 14585743030 20420040242 51050100605 102100201210