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212101021001210 = 251121797106300849
BaseRepresentation
bin110000001110011110011110…
…000000110110010111111010
31000210222122210211112201222012
4300032132132000312113322
5210300030342334014320
62031033510334125522
762450536011555455
oct6016363600662772
91023878724481865
10212101021001210
11616445a0990600
121b9567229508a2
13914706ab6c413
143a53a5c0ba49c
15197c37ab784c5
hexc0e79e0365fa

212101021001210 has 96 divisors (see below), whose sum is σ = 448910190363600. Its totient is φ = 71842365112320.

The previous prime is 212101021001209. The next prime is 212101021001251. The reversal of 212101021001210 is 12100120101212.

It can be written as a sum of positive squares in 8 ways, for example, as 75539616970609 + 136561404030601 = 8691353^2 + 11685949^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51155135 + ... + 55145714.

Almost surely, 2212101021001210 is an apocalyptic number.

212101021001210 is an abundant number, since it is smaller than the sum of its proper divisors (236809169362390).

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

212101021001210 is a wasteful number, since it uses less digits than its factorization.

212101021001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106300992 (or 106300981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101021001210 its reverse (12100120101212), we get a palindrome (224201141102422).

The spelling of 212101021001210 in words is "two hundred twelve trillion, one hundred one billion, twenty-one million, one thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 97 110 121 170 187 194 242 374 485 605 935 970 1067 1210 1649 1870 2057 2134 3298 4114 5335 8245 10285 10670 11737 16490 18139 20570 23474 36278 58685 90695 117370 181390 199529 399058 997645 1995290 106300849 212601698 531504245 1063008490 1169309339 1807114433 2338618678 3614228866 5846546695 9035572165 10311182353 11693093390 12862402729 18071144330 19878258763 20622364706 25724805458 39756517526 51555911765 64312013645 99391293815 103111823530 113423005883 128624027290 175290100001 198782587630 218660846393 226846011766 350580200002 437321692786 567115029415 876450500005 1093304231965 1134230058830 1247653064713 1752901000010 1928191100011 2186608463930 2495306129426 3856382200022 6238265323565 9640955500055 12476530647130 19281911000110 21210102100121 42420204200242 106050510500605 212101021001210