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200210200010121 = 372910131750920173
BaseRepresentation
bin101101100001011100010001…
…110110100001110110001001
3222020212220112002000221111110
4231201130101312201312021
5202220220442200310441
61545451143545120533
760112465253032410
oct5541342166416611
9866786462027443
10200210200010121
115887a73a489084
121a5560b2a89149
1387939828572b2
143762322650477
151822dd7c2db16
hexb61711da1d89

200210200010121 has 128 divisors (see below), whose sum is σ = 320376547814400. Its totient is φ = 108802539417600.

The previous prime is 200210200010089. The next prime is 200210200010141. The reversal of 200210200010121 is 121010002012002.

It is not a de Polignac number, because 200210200010121 - 25 = 200210200010089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200210200010097 and 200210200010106.

It is not an unprimeable number, because it can be changed into a prime (200210200010141) 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 127 ways as a sum of consecutive naturals, for example, 9924651591 + ... + 9924671763.

It is an arithmetic number, because the mean of its divisors is an integer number (2502941779800).

Almost surely, 2200210200010121 is an apocalyptic number.

200210200010121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200210200010121 is a deficient number, since it is larger than the sum of its proper divisors (120166347804279).

200210200010121 is a wasteful number, since it uses less digits than its factorization.

200210200010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21139.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200210200010121 its reverse (121010002012002), we get a palindrome (321220202022123).

The spelling of 200210200010121 in words is "two hundred trillion, two hundred ten billion, two hundred million, ten thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 87 101 203 303 317 509 609 707 951 1527 2121 2219 2929 3563 6657 8787 9193 10689 14761 20173 20503 27579 32017 44283 51409 60519 61509 64351 96051 103327 141211 154227 161353 193053 224119 309981 359863 423633 484059 585017 672357 928493 1079589 1129471 1490861 1755051 2037473 2785479 3388413 4095119 4472583 4679237 6112419 6394841 6499451 10268057 10436027 12285357 14037711 14262311 16296653 19184523 19498353 30804171 31308081 32754659 42786933 44763887 48889959 59086717 71876399 98263977 114076571 134291661 177260151 185450389 215629197 297773653 342229713 413607019 472602937 556351167 645878941 893320959 1037073757 1240821057 1298152723 1417808811 1937636823 2084415571 3111221271 3254974069 3308220559 3894458169 4521152587 6253246713 7259516299 9764922207 9924661677 13563457761 18730489289 21778548897 22784818483 30075138953 56191467867 68354455449 90225416859 94394248001 131113425023 210525972671 283182744003 328752380969 393340275069 631577918013 660759736007 986257142907 1982279208021 2301266666783 6903800000349 9533819048101 28601457144303 66736733336707 200210200010121