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121201221121 is a prime number
BaseRepresentation
bin111000011100000100…
…1111101111000000001
3102120211201110222002121
41300320021331320001
53441210003033441
6131402402444241
711520323244541
oct1607011757001
9376751428077
10121201221121
1147445a25352
121b5a6063681
13b5770185b6
145c1aab3321
153245682dd1
hex1c3827de01

121201221121 has 2 divisors, whose sum is σ = 121201221122. Its totient is φ = 121201221120.

The previous prime is 121201221077. The next prime is 121201221133. The reversal of 121201221121 is 121122102121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102694611600 + 18506609521 = 320460^2 + 136039^2 .

It is an emirp because it is prime and its reverse (121122102121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121201221121 - 213 = 121201212929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121201221095 and 121201221104.

It is not a weakly prime, because it can be changed into another prime (121201221221) 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, 60600610560 + 60600610561.

It is an arithmetic number, because the mean of its divisors is an integer number (60600610561).

Almost surely, 2121201221121 is an apocalyptic number.

It is an amenable number.

121201221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121201221121 is an equidigital number, since it uses as much as digits as its factorization.

121201221121 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 16.

Adding to 121201221121 its reverse (121122102121), we get a palindrome (242323323242).

The spelling of 121201221121 in words is "one hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".