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201122121217 is a prime number
BaseRepresentation
bin1011101101001111010…
…0000000011000000001
3201020010112202100102111
42323103310000120001
511243344230334332
6232221053015321
720346664552303
oct2732364003001
9636115670374
10201122121217
1178328215506
1232b8b484541
1315c72946924
149a3d13b973
155371c29947
hex2ed3d00601

201122121217 has 2 divisors, whose sum is σ = 201122121218. Its totient is φ = 201122121216.

The previous prime is 201122121199. The next prime is 201122121229. The reversal of 201122121217 is 712121221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154441926081 + 46680195136 = 392991^2 + 216056^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122121217 - 215 = 201122088449 is a prime.

It is a super-2 number, since 2×2011221212172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201122121247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561060608 + 100561060609.

It is an arithmetic number, because the mean of its divisors is an integer number (100561060609).

Almost surely, 2201122121217 is an apocalyptic number.

It is an amenable number.

201122121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122121217 is an equidigital number, since it uses as much as digits as its factorization.

201122121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 201122121217 its reverse (712121221102), we get a palindrome (913243342319).

The spelling of 201122121217 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred seventeen".