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121221122201 is a prime number
BaseRepresentation
bin111000011100101010…
…1111000100010011001
3102120220002221001020122
41300321111320202121
53441230101402301
6131404353203025
711520654352304
oct1607125704231
9376802831218
10121221122201
1147456188323
121b5b0860475
13b57b19599a
145c1d5b3b3b
1532472b481b
hex1c39578899

121221122201 has 2 divisors, whose sum is σ = 121221122202. Its totient is φ = 121221122200.

The previous prime is 121221122189. The next prime is 121221122203. The reversal of 121221122201 is 102221122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113242345225 + 7978776976 = 336515^2 + 89324^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221122201 - 26 = 121221122137 is a prime.

It is a super-3 number, since 3×1212211222013 (a number of 34 digits) contains 333 as substring.

Together with 121221122203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121221122201.

It is not a weakly prime, because it can be changed into another prime (121221122203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60610561100 + 60610561101.

It is an arithmetic number, because the mean of its divisors is an integer number (60610561101).

Almost surely, 2121221122201 is an apocalyptic number.

It is an amenable number.

121221122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221122201 is an equidigital number, since it uses as much as digits as its factorization.

121221122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121221122201 its reverse (102221122121), we get a palindrome (223442244322).

The spelling of 121221122201 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred one".