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212001210121100 = 225229719101674361
BaseRepresentation
bin110000001101000001100000…
…110100100011101110001100
31000210122010011211202200102212
4300031001200310203232030
5210241411434242333400
62030520002244405552
762440403422231061
oct6015014064435614
91023563154680385
10212001210121100
1161606232287034
121b93b3083a68b8
13913a8225a794a
143a4ccb0208c68
151979988349335
hexc0d060d23b8c

212001210121100 has 72 divisors (see below), whose sum is σ = 476568069566400. Its totient is φ = 81762453337600.

The previous prime is 212001210121081. The next prime is 212001210121241. The reversal of 212001210121100 is 1121012100212.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48752081 + ... + 52922280.

It is an arithmetic number, because the mean of its divisors is an integer number (6619000966200).

Almost surely, 2212001210121100 is an apocalyptic number.

212001210121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001210121100 is an abundant number, since it is smaller than the sum of its proper divisors (264566859445300).

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

212001210121100 is a wasteful number, since it uses less digits than its factorization.

212001210121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101675123 (or 101675116 counting only the distinct ones).

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

Adding to 212001210121100 its reverse (1121012100212), we get a palindrome (213122222221312).

The spelling of 212001210121100 in words is "two hundred twelve trillion, one billion, two hundred ten million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 719 725 1438 1450 2876 2900 3595 7190 14380 17975 20851 35950 41702 71900 83404 104255 208510 417020 521275 1042550 2085100 101674361 203348722 406697444 508371805 1016743610 2033487220 2541859025 2948556469 5083718050 5897112938 10167436100 11794225876 14742782345 29485564690 58971129380 73103865559 73713911725 146207731118 147427823450 292415462236 294855646900 365519327795 731038655590 1462077311180 1827596638975 2120012101211 3655193277950 4240024202422 7310386555900 8480048404844 10600060506055 21200121012110 42400242024220 53000302530275 106000605060550 212001210121100