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210012121221201 = 321316727158767567
BaseRepresentation
bin101111110000000101000001…
…111000100100100001010001
31000112120221222211002010222100
4233300011001320210201101
5210011314311013034301
62022354123034231013
762143606066444335
oct5760050170444121
91015527884063870
10210012121221201
1160a09705474252
121b67990a585469
13902509a712930
1439c08d88c77c5
151942d6d1ea286
hexbf0141e24851

210012121221201 has 96 divisors (see below), whose sum is σ = 330421245493248. Its totient is φ = 127770376199040.

The previous prime is 210012121221187. The next prime is 210012121221223. The reversal of 210012121221201 is 102122121210012.

210012121221201 is a `hidden beast` number, since 2 + 100 + 121 + 21 + 221 + 201 = 666.

It is not a de Polignac number, because 210012121221201 - 215 = 210012121188433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210012121221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3108171720 + ... + 3108239286.

It is an arithmetic number, because the mean of its divisors is an integer number (3441887973888).

Almost surely, 2210012121221201 is an apocalyptic number.

It is an amenable number.

210012121221201 is a deficient number, since it is larger than the sum of its proper divisors (120409124272047).

210012121221201 is a wasteful number, since it uses less digits than its factorization.

210012121221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68611 (or 68608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210012121221201 its reverse (102122121210012), we get a palindrome (312134242431213).

The spelling of 210012121221201 in words is "two hundred ten trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 13 39 117 167 271 501 587 813 1503 1761 2171 2439 3523 5283 6513 7631 10569 19539 22893 31707 45257 67567 68679 98029 135771 159077 202701 294087 407313 477231 588341 608103 878371 882261 1274377 1431693 1765023 2068001 2635113 3823131 5295069 6204003 7905339 11283689 11469393 18310657 18612009 26565859 33851067 39661829 54931971 79697577 101553201 118985487 146687957 164795913 238038541 239092731 345356167 356956461 440063871 515603777 714115623 1036068501 1320191613 1546811331 2142346869 3057879719 3108205503 4640433993 6623525443 9173639157 10748355659 19870576329 27520917471 32245066977 39752436347 59611728987 86105830759 96735200931 119257309041 139728623567 258317492277 357771927123 419185870701 774952476831 1257557612103 1794975395053 5384926185159 16154778555477 23334680135689 70004040407067 210012121221201