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12211212201101 is a prime number
BaseRepresentation
bin1011000110110010010011…
…1101110010110010001101
31121020101021101002121201022
42301230210331302302031
53100032030310413401
641545430424323525
72400142136054324
oct261544475626215
947211241077638
1012211212201101
113988822a3a701
1214527463135a5
136a76878a3084
14303050c0b0bb
1516299589d71b
hexb1b24f72c8d

12211212201101 has 2 divisors, whose sum is σ = 12211212201102. Its totient is φ = 12211212201100.

The previous prime is 12211212201079. The next prime is 12211212201137. The reversal of 12211212201101 is 10110221211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7457809348201 + 4753402852900 = 2730899^2 + 2180230^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211212201101 - 242 = 7813165689997 is a prime.

It is a super-2 number, since 2×122112122011012 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12211212201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211212201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105606100550 + 6105606100551.

It is an arithmetic number, because the mean of its divisors is an integer number (6105606100551).

Almost surely, 212211212201101 is an apocalyptic number.

It is an amenable number.

12211212201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211212201101 is an equidigital number, since it uses as much as digits as its factorization.

12211212201101 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 17.

Adding to 12211212201101 its reverse (10110221211221), we get a palindrome (22321433412322).

The spelling of 12211212201101 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, one hundred one".