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222112202100121 is a prime number
BaseRepresentation
bin110010100000001010000110…
…111010000000110110011001
31002010102201102020222200001001
4302200022012322000312121
5213103041242214200441
62104220534221025001
764533035266062064
oct6240120672006631
91063381366880031
10222112202100121
116485428a6a5733
1220ab29bb0b5161
1396c21245bc3a8
143cbc40617b8db
151aa29ac4ce731
hexca0286e80d99

222112202100121 has 2 divisors, whose sum is σ = 222112202100122. Its totient is φ = 222112202100120.

The previous prime is 222112202100073. The next prime is 222112202100157. The reversal of 222112202100121 is 121001202211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222076607995225 + 35594104896 = 14902235^2 + 188664^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112202100121 - 231 = 222110054616473 is a prime.

It is not a weakly prime, because it can be changed into another prime (222112202109121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056101050060 + 111056101050061.

It is an arithmetic number, because the mean of its divisors is an integer number (111056101050061).

Almost surely, 2222112202100121 is an apocalyptic number.

It is an amenable number.

222112202100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112202100121 is an equidigital number, since it uses as much as digits as its factorization.

222112202100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222112202100121 its reverse (121001202211222), we get a palindrome (343113404311343).

The spelling of 222112202100121 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred thousand, one hundred twenty-one".