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212121010101020 = 225113352272664401
BaseRepresentation
bin110000001110110001000101…
…011101001101101100011100
31000211001120101220120012222012
4300032301011131031230130
5210300342312041213040
62031051014034010352
762452144242243416
oct6016610535155434
91024046356505865
10212121010101020
11616520192450a9
121b95a5811169b8
139148c051cb827
143a549d6b659b6
15197cb4a98e865
hexc0ec4574db1c

212121010101020 has 48 divisors (see below), whose sum is σ = 449409118904928. Its totient is φ = 84095114342400.

The previous prime is 212121010101019. The next prime is 212121010101029. The reversal of 212121010101020 is 20101010121212.

It is a super-3 number, since 3×2121210101010203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121010100986 and 212121010101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121010101029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78280820 + ... + 80945220.

It is an arithmetic number, because the mean of its divisors is an integer number (9362689977186).

Almost surely, 2212121010101020 is an apocalyptic number.

212121010101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121010101020 is an abundant number, since it is smaller than the sum of its proper divisors (237288108803908).

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

212121010101020 is a wasteful number, since it uses less digits than its factorization.

212121010101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699750 (or 2699748 counting only the distinct ones).

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

Adding to 212121010101020 its reverse (20101010121212), we get a palindrome (232222020222232).

The spelling of 212121010101020 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 35227 70454 140908 176135 352270 704540 2664401 3980651 5328802 7961302 10657604 13322005 15922604 19903255 26644010 39806510 53288020 79613020 301077313 602154626 1204309252 1505386565 3010773130 6021546260 93858854027 187717708054 375435416108 469294270135 938588540270 1877177080540 10606050505051 21212101010102 42424202020204 53030252525255 106060505050510 212121010101020