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212102012121021 = 32114323299351229
BaseRepresentation
bin110000001110011111011001…
…000101101010111110111101
31000210222202100220111211202100
4300032133121011222332331
5210300034410100333041
62031034152541215313
762450602405132551
oct6016373105527675
91023882326454670
10212102012121021
1161644a5a399590
121b95695a861539
1391471982ba649
143a53b13995861
15197c3d7ba36b6
hexc0e7d916afbd

212102012121021 has 72 divisors (see below), whose sum is σ = 342279395172000. Its totient is φ = 125518799931840.

The previous prime is 212102012120983. The next prime is 212102012121121. The reversal of 212102012121021 is 120121210201212.

212102012121021 is a `hidden beast` number, since 2 + 1 + 210 + 201 + 21 + 210 + 21 = 666.

It is not a de Polignac number, because 212102012121021 - 217 = 212102011989949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212102012120985 and 212102012121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102012121121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 603709635 + ... + 604060863.

It is an arithmetic number, because the mean of its divisors is an integer number (4753880488500).

Almost surely, 2212102012121021 is an apocalyptic number.

It is an amenable number.

212102012121021 is a deficient number, since it is larger than the sum of its proper divisors (130177383050979).

212102012121021 is a wasteful number, since it uses less digits than its factorization.

212102012121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354631 (or 354585 counting only the distinct ones).

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

Adding to 212102012121021 its reverse (120121210201212), we get a palindrome (332223222322233).

The spelling of 212102012121021 in words is "two hundred twelve trillion, one hundred two billion, twelve million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 1849 3299 4257 5547 9897 16641 20339 29691 36289 61017 108867 141857 183051 326601 351229 425571 1053687 1276713 1560427 3161061 3863519 4681281 6099851 11590557 14043843 15102847 18299553 34771671 45308541 54898659 67098361 135925623 166131317 201295083 498393951 603885249 649422421 1158704471 1495181853 1948267263 3476113413 5844801789 7143646631 10428340239 12745749181 21430939893 38237247543 49824292253 64292819679 114711742629 149472876759 448418630277 548067214783 1644201644349 2142444566879 4932604933047 6427333700637 19282001101911 23566890235669 70700670707007 212102012121021