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212102122020201 = 327171013735256847
BaseRepresentation
bin110000001110011111011111…
…101000111001110101101001
31000210222202122120022022002100
4300032133133220321311221
5210300040121214121301
62031034211504524013
762450605211224410
oct6016373750716551
91023882576268070
10212102122020201
1161645006431456
121b95698b620609
1391471b4cb8b4a
143a53b24402477
15197c3e2661286
hexc0e7dfa39d69

212102122020201 has 96 divisors (see below), whose sum is σ = 375407580607488. Its totient is φ = 112639490611200.

The previous prime is 212102122020121. The next prime is 212102122020203. The reversal of 212102122020201 is 102020221201212.

It is a happy number.

212102122020201 is a `hidden beast` number, since 2 + 1 + 210 + 212 + 20 + 20 + 201 = 666.

It is not a de Polignac number, because 212102122020201 - 218 = 212102121758057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212102122020203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37719360 + ... + 42976206.

It is an arithmetic number, because the mean of its divisors is an integer number (3910495631328).

Almost surely, 2212102122020201 is an apocalyptic number.

212102122020201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212102122020201 is a deficient number, since it is larger than the sum of its proper divisors (163305458587287).

212102122020201 is a wasteful number, since it uses less digits than its factorization.

212102122020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257351 (or 5257348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102122020201 its reverse (102020221201212), we get a palindrome (314122343221413).

The spelling of 212102122020201 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-two million, twenty thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 101 119 153 303 357 373 707 909 1071 1119 1717 2121 2611 3357 5151 6341 6363 7833 12019 15453 19023 23499 36057 37673 44387 57069 108171 113019 133161 263711 339057 399483 640441 791133 1921323 2373399 4483087 5256847 5763969 13449261 15770541 36797929 40347783 47311623 89366399 110393787 268099197 331181361 530941547 625564793 804297591 1592824641 1876694379 1960803931 3716590829 4778473923 5630083137 5882411793 9026006299 11149772487 13725627517 17647235379 27078018897 33333666827 33449317461 41176882551 63182044093 81234056691 100001000481 123530647653 189546132279 198041197031 233335667789 300003001443 568638396837 594123591093 700007003367 1386288379217 1782370773279 2100021010101 3366700349527 4158865137651 10100101048581 12476595412953 23566902446689 30300303145743 70700707340067 212102122020201