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12001211111101 is a prime number
BaseRepresentation
bin1010111010100011111111…
…1011001101011010111101
31120111022020000222220220011
42232220333323031122331
53033111440021023401
641305140312223221
72346026125205452
oct256507773153275
946438200886804
1012001211111101
11390775988a573
121419ab939ab11
1369092b5a4584
142d6c0c7a1829
1515c2a4403451
hexaea3fecd6bd

12001211111101 has 2 divisors, whose sum is σ = 12001211111102. Its totient is φ = 12001211111100.

The previous prime is 12001211111047. The next prime is 12001211111137. The reversal of 12001211111101 is 10111111210021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9428799303225 + 2572411807876 = 3070635^2 + 1603874^2 .

It is an emirp because it is prime and its reverse (10111111210021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12001211111101 - 217 = 12001210980029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001211117101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000605555550 + 6000605555551.

It is an arithmetic number, because the mean of its divisors is an integer number (6000605555551).

Almost surely, 212001211111101 is an apocalyptic number.

It is an amenable number.

12001211111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001211111101 is an equidigital number, since it uses as much as digits as its factorization.

12001211111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 12001211111101 its reverse (10111111210021), we get a palindrome (22112322321122).

The spelling of 12001211111101 in words is "twelve trillion, one billion, two hundred eleven million, one hundred eleven thousand, one hundred one".