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12101213101 is a prime number
BaseRepresentation
bin10110100010100100…
…11101101110101101
31011020100120022121211
423101102131232231
5144240402304401
65320442554421
7605610420445
oct132122355655
934210508554
1012101213101
11514a90156a
122418808a11
1311ab111533
1482b247125
154ac5b4951
hex2d149dbad

12101213101 has 2 divisors, whose sum is σ = 12101213102. Its totient is φ = 12101213100.

The previous prime is 12101213063. The next prime is 12101213153. The reversal of 12101213101 is 10131210121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11183062500 + 918150601 = 105750^2 + 30301^2 .

It is an emirp because it is prime and its reverse (10131210121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12101213101 - 213 = 12101204909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101213401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050606550 + 6050606551.

It is an arithmetic number, because the mean of its divisors is an integer number (6050606551).

Almost surely, 212101213101 is an apocalyptic number.

It is an amenable number.

12101213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101213101 is an equidigital number, since it uses as much as digits as its factorization.

12101213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12101213101 its reverse (10131210121), we get a palindrome (22232423222).

The spelling of 12101213101 in words is "twelve billion, one hundred one million, two hundred thirteen thousand, one hundred one".