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121121112121 is a prime number
BaseRepresentation
bin111000011001101100…
…0011000000000111001
3102120122010202000012121
41300303120120000321
53441024001041441
6131350421441241
711515331315602
oct1606330300071
9376563660177
10121121112121
114740478a269
121b583270221
13b56354a719
145c101bcda9
15323d60bdd1
hex1c33618039

121121112121 has 2 divisors, whose sum is σ = 121121112122. Its totient is φ = 121121112120.

The previous prime is 121121112103. The next prime is 121121112139. The reversal of 121121112121 is 121211121121.

It is a balanced prime because it is at equal distance from previous prime (121121112103) and next prime (121121112139).

It can be written as a sum of positive squares in only one way, i.e., 120451337721 + 669774400 = 347061^2 + 25880^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121112121 - 223 = 121112723513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121121112095 and 121121112104.

It is not a weakly prime, because it can be changed into another prime (121121112191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560556060 + 60560556061.

It is an arithmetic number, because the mean of its divisors is an integer number (60560556061).

Almost surely, 2121121112121 is an apocalyptic number.

It is an amenable number.

121121112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121112121 is an equidigital number, since it uses as much as digits as its factorization.

121121112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16, while the sum is 16.

Adding to 121121112121 its reverse (121211121121), we get a palindrome (242332233242).

The spelling of 121121112121 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".