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12121304101 is a prime number
BaseRepresentation
bin10110100100111110…
…00110110000100101
31011021202101001021221
423102133012300211
5144311023212401
65322441340341
7606243246004
oct132237066045
934252331257
1012121304101
1151601841a5
1224234976b1
1311b23271ba
1482db96c3b
154ae2327a1
hex2d27c6c25

12121304101 has 2 divisors, whose sum is σ = 12121304102. Its totient is φ = 12121304100.

The previous prime is 12121304051. The next prime is 12121304137. The reversal of 12121304101 is 10140312121.

12121304101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10972772001 + 1148532100 = 104751^2 + 33890^2 .

It is an emirp because it is prime and its reverse (10140312121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12121304101 - 231 = 9973820453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121304171) 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, 6060652050 + 6060652051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060652051).

Almost surely, 212121304101 is an apocalyptic number.

It is an amenable number.

12121304101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121304101 is an equidigital number, since it uses as much as digits as its factorization.

12121304101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12121304101 its reverse (10140312121), we get a palindrome (22261616222).

The spelling of 12121304101 in words is "twelve billion, one hundred twenty-one million, three hundred four thousand, one hundred one".