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21121120010221 = 7114359108119929
BaseRepresentation
bin1001100110101101001001…
…10110101111111111101101
32202210011022011112221211021
410303112210312233333231
510232022023210311341
6112530524130454141
74306644020620150
oct463264466577755
982704264487737
1021121120010221
11680346468a330
1224514b8434351
13ba293680257a
145303a6677c97
1526961ea8c9d1
hex1335a4daffed

21121120010221 has 32 divisors (see below), whose sum is σ = 27401915059200. Its totient is φ = 15802808676480.

The previous prime is 21121120010153. The next prime is 21121120010231. The reversal of 21121120010221 is 12201002112112.

It is not a de Polignac number, because 21121120010221 - 227 = 21120985792493 is a prime.

It is a super-2 number, since 2×211211200102212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121120010195 and 21121120010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121120010231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53864616 + ... + 54255313.

It is an arithmetic number, because the mean of its divisors is an integer number (856309845600).

Almost surely, 221121120010221 is an apocalyptic number.

It is an amenable number.

21121120010221 is a deficient number, since it is larger than the sum of its proper divisors (6280795048979).

21121120010221 is a wasteful number, since it uses less digits than its factorization.

21121120010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108120049.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121120010221 its reverse (12201002112112), we get a palindrome (33322122122333).

The spelling of 21121120010221 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, ten thousand, two hundred twenty-one".

Divisors: 1 7 11 43 59 77 301 413 473 649 2537 3311 4543 17759 27907 195349 108119929 756839503 1189319219 4649156947 6379075811 8325234533 32544098629 44653530677 51140726417 70169833921 274300259873 357985084919 491188837447 1920101819111 3017302858603 21121120010221