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22122120121 is a prime number
BaseRepresentation
bin10100100110100101…
…001100001110111001
32010002201200010210021
4110212211030032321
5330301230320441
614055053450441
71412130630013
oct244645141671
963081603707
1022122120121
1194223a6302
1243547a0a21
13211723bc0a
1410dc08d1b3
158972023d1
hex52694c3b9

22122120121 has 2 divisors, whose sum is σ = 22122120122. Its totient is φ = 22122120120.

The previous prime is 22122120113. The next prime is 22122120133. The reversal of 22122120121 is 12102122122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21976580025 + 145540096 = 148245^2 + 12064^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122120121 - 23 = 22122120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122120095 and 22122120104.

It is not a weakly prime, because it can be changed into another prime (22122120421) 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, 11061060060 + 11061060061.

It is an arithmetic number, because the mean of its divisors is an integer number (11061060061).

Almost surely, 222122120121 is an apocalyptic number.

It is an amenable number.

22122120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122120121 is an equidigital number, since it uses as much as digits as its factorization.

22122120121 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 16.

Adding to 22122120121 its reverse (12102122122), we get a palindrome (34224242243).

The spelling of 22122120121 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".