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212001220101021 = 313377331215716487
BaseRepresentation
bin110000001101000001100001…
…011010101000001110011101
31000210122010012112112201022120
4300031001201122220032131
5210241411444321213041
62030520003242333153
762440403603115051
oct6015014132501635
91023563175481276
10212001220101021
11616062379830aa
121b93b30b7ba1b9
13913a824690320
143a4ccb1685c61
15197998916b366
hexc0d0616a839d

212001220101021 has 64 divisors (see below), whose sum is σ = 313110622315008. Its totient is φ = 126744992621568.

The previous prime is 212001220101007. The next prime is 212001220101029. The reversal of 212001220101021 is 120101022100212.

It is not a de Polignac number, because 212001220101021 - 211 = 212001220098973 is a prime.

It is a super-3 number, since 3×2120012201010213 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001220101029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12858681640 + ... + 12858698126.

It is an arithmetic number, because the mean of its divisors is an integer number (4892353473672).

Almost surely, 2212001220101021 is an apocalyptic number.

It is an amenable number.

212001220101021 is a deficient number, since it is larger than the sum of its proper divisors (101109402213987).

212001220101021 is a wasteful number, since it uses less digits than its factorization.

212001220101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212001220101021 its reverse (120101022100212), we get a palindrome (332102242201233).

It can be divided in two parts, 212001 and 220101021, that added together give a palindrome (220313022).

The spelling of 212001220101021 in words is "two hundred twelve trillion, one billion, two hundred twenty million, one hundred one thousand, twenty-one".

Divisors: 1 3 13 37 39 111 481 733 1443 2199 9529 12157 16487 27121 28587 36471 49461 81363 158041 214331 352573 449809 474123 610019 642993 1057719 1349427 1830057 5847517 7930247 8911081 12084971 17542551 23790741 26733243 36254913 115844053 157104623 200432459 329709997 347532159 447143927 471313869 601297377 989129991 1341431781 2605621967 4286229961 5812871051 7416000983 7816865901 12858689883 17438613153 22248002949 96408012779 146916992447 289224038337 440750977341 1909920901811 5435928720539 5729762705433 16307786161617 70667073367007 212001220101021