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121100121017 is a prime number
BaseRepresentation
bin111000011001000100…
…0010011001110111001
3102120120200020112211022
41300302020103032321
53441003112333032
6131344351512225
711514655021211
oct1606210231671
9376520215738
10121100121017
11473a3952347
121b578228675
13b55c0ab155
145c0b4b7241
15323b862512
hex1c322133b9

121100121017 has 2 divisors, whose sum is σ = 121100121018. Its totient is φ = 121100121016.

The previous prime is 121100121011. The next prime is 121100121029. The reversal of 121100121017 is 710121001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61731874681 + 59368246336 = 248459^2 + 243656^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100121017 - 28 = 121100120761 is a prime.

It is a super-2 number, since 2×1211001210172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100120986 and 121100121004.

It is not a weakly prime, because it can be changed into another prime (121100121011) 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, 60550060508 + 60550060509.

It is an arithmetic number, because the mean of its divisors is an integer number (60550060509).

Almost surely, 2121100121017 is an apocalyptic number.

It is an amenable number.

121100121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100121017 is an equidigital number, since it uses as much as digits as its factorization.

121100121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 121100121017 its reverse (710121001121), we get a palindrome (831221122138).

The spelling of 121100121017 in words is "one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, seventeen".