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21221101202121 = 3217376766798377
BaseRepresentation
bin1001101001100111011000…
…01100101110101011001001
32210010201101000210202012200
410310303230030232223021
510240141303401431441
6113044501142430413
74320113446002432
oct464635414565311
983121330722180
1021221101202121
116841900439647
12246895ba32409
13bac1ab458252
1453516d000489
1526c02230e7b6
hex134cec32eac9

21221101202121 has 96 divisors (see below), whose sum is σ = 33839597226240. Its totient is φ = 12758533337088.

The previous prime is 21221101202089. The next prime is 21221101202219. The reversal of 21221101202121 is 12120210112212.

21221101202121 is a `hidden beast` number, since 21 + 221 + 101 + 202 + 121 = 666.

It is not a de Polignac number, because 21221101202121 - 25 = 21221101202089 is a prime.

It is a super-2 number, since 2×212211012021212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21221101202094 and 21221101202103.

It is not an unprimeable number, because it can be changed into a prime (21221101272121) 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 95 ways as a sum of consecutive naturals, for example, 2533253685 + ... + 2533262061.

It is an arithmetic number, because the mean of its divisors is an integer number (352495804440).

Almost surely, 221221101202121 is an apocalyptic number.

It is an amenable number.

21221101202121 is a deficient number, since it is larger than the sum of its proper divisors (12618496024119).

21221101202121 is a wasteful number, since it uses less digits than its factorization.

21221101202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15180 counting only the distinct ones).

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

Adding to 21221101202121 its reverse (12120210112212), we get a palindrome (33341311314333).

The spelling of 21221101202121 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 37 51 67 111 153 201 333 603 629 1139 1887 2479 3417 5661 6679 7437 8377 10251 20037 22311 25131 42143 60111 75393 113543 126429 142409 247123 309949 340629 379287 427227 447493 561259 741369 929847 1021887 1281681 1342479 1683777 2224107 2789541 4027437 4201091 5051331 5269133 7607381 9541403 12603273 15807399 16557241 20766583 22822143 28624209 37809819 47422197 49671723 55949983 62299749 68466429 85872627 149015169 167849949 186899247 281473097 353031911 503549847 844419291 951149711 1059095733 2070149371 2533257873 2853449133 3177287199 3748648861 6210448113 8560347399 11245946583 18631344339 33737839749 35192539307 63727030637 105577617921 138700007857 191181091911 316732853763 416100023571 573543275733 1248300070713 2357900133569 7073700400707 21221101202121