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22100201221121 is a prime number
BaseRepresentation
bin1010000011001100110101…
…01001001010110000000001
32220020202111000120210100122
411001212122221022300001
510344042203003033441
6115000405311030025
74440454405606652
oct501463251126001
986222430523318
1022100201221121
117050708490371
12258b20080b315
13c44069c4b89a
1456592678b529
15284d24a9934b
hex14199aa4ac01

22100201221121 has 2 divisors, whose sum is σ = 22100201221122. Its totient is φ = 22100201221120.

The previous prime is 22100201221093. The next prime is 22100201221139. The reversal of 22100201221121 is 12112210200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18853519780096 + 3246681441025 = 4342064^2 + 1801855^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100201221121 - 242 = 17702154710017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22100201221121.

It is not a weakly prime, because it can be changed into another prime (22100201221151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050100610560 + 11050100610561.

It is an arithmetic number, because the mean of its divisors is an integer number (11050100610561).

Almost surely, 222100201221121 is an apocalyptic number.

It is an amenable number.

22100201221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100201221121 is an equidigital number, since it uses as much as digits as its factorization.

22100201221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22100201221121 its reverse (12112210200122), we get a palindrome (34212411421243).

The spelling of 22100201221121 in words is "twenty-two trillion, one hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".