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122212100201 is a prime number
BaseRepresentation
bin111000111010001101…
…0001010100001101001
3102200110011121221111112
41301310122022201221
54000242244201301
6132050553240105
711554346466062
oct1616432124151
9380404557445
10122212100201
11479145a9804
121b828703035
13b6a85944b9
145cb5053569
1532a42b29bb
hex1c7468a869

122212100201 has 2 divisors, whose sum is σ = 122212100202. Its totient is φ = 122212100200.

The previous prime is 122212100123. The next prime is 122212100221. The reversal of 122212100201 is 102001212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68631424576 + 53580675625 = 261976^2 + 231475^2 .

It is an emirp because it is prime and its reverse (102001212221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122212100201 - 214 = 122212083817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122212100221) 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, 61106050100 + 61106050101.

It is an arithmetic number, because the mean of its divisors is an integer number (61106050101).

Almost surely, 2122212100201 is an apocalyptic number.

It is an amenable number.

122212100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212100201 is an equidigital number, since it uses as much as digits as its factorization.

122212100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122212100201 its reverse (102001212221), we get a palindrome (224213312422).

The spelling of 122212100201 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred thousand, two hundred one".