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121221120121 is a prime number
BaseRepresentation
bin111000011100101010…
…1111000000001111001
3102120220002220221101121
41300321111320001321
53441230101320441
6131404353145241
711520654343243
oct1607125700171
9376802827347
10121221120121
1147456186802
121b5b085b221
13b57b194a5a
145c1d5b3093
1532472b3dd1
hex1c39578079

121221120121 has 2 divisors, whose sum is σ = 121221120122. Its totient is φ = 121221120120.

The previous prime is 121221120101. The next prime is 121221120169. The reversal of 121221120121 is 121021122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107194034025 + 14027086096 = 327405^2 + 118436^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221120121 - 219 = 121220595833 is a prime.

It is a super-2 number, since 2×1212211201212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121221120095 and 121221120104.

It is not a weakly prime, because it can be changed into another prime (121221120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60610560060 + 60610560061.

It is an arithmetic number, because the mean of its divisors is an integer number (60610560061).

Almost surely, 2121221120121 is an apocalyptic number.

It is an amenable number.

121221120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221120121 is an equidigital number, since it uses as much as digits as its factorization.

121221120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221120121 its reverse (121021122121), we get a palindrome (242242242242).

The spelling of 121221120121 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".