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21210121111221 = 32717101196079551
BaseRepresentation
bin1001101001010010111011…
…01111000000011010110101
32210002200000210211100010100
410310221131233000122311
510240001312001024341
6113035443425144313
74316244400526550
oct464513557003265
983080023740110
1021210121111221
116838186469859
1224667b678b099
13bab14b6b1843
1453480aa33697
1526bacd3a43b6
hex134a5dbc06b5

21210121111221 has 48 divisors (see below), whose sum is σ = 37440213977088. Its totient is φ = 11294182080000.

The previous prime is 21210121111217. The next prime is 21210121111259. The reversal of 21210121111221 is 12211112101212.

It is a happy number.

21210121111221 is a `hidden beast` number, since 2 + 1 + 210 + 121 + 111 + 221 = 666.

It is not a de Polignac number, because 21210121111221 - 22 = 21210121111217 is a prime.

It is a super-2 number, since 2×212101211112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21210121111194 and 21210121111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210121111321) 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 47 ways as a sum of consecutive naturals, for example, 97931605 + ... + 98147946.

It is an arithmetic number, because the mean of its divisors is an integer number (780004457856).

Almost surely, 221210121111221 is an apocalyptic number.

21210121111221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21210121111221 is a deficient number, since it is larger than the sum of its proper divisors (16230092865867).

21210121111221 is a wasteful number, since it uses less digits than its factorization.

21210121111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196079682 (or 196079679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21210121111221 its reverse (12211112101212), we get a palindrome (33421233212433).

The spelling of 21210121111221 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 101 119 153 303 357 707 909 1071 1717 2121 5151 6363 12019 15453 36057 108171 196079551 588238653 1372556857 1764715959 3333352367 4117670571 10000057101 12353011713 19804034651 23333466569 30000171303 59412103953 70000399707 138628242557 178236311859 210001199121 336668589067 415884727671 1010005767201 1247654183013 2356680123469 3030017301603 7070040370407 21210121111221