12001201122101 has 2 divisors, whose sum is σ = 12001201122102. Its totient is φ = 12001201122100.

The previous prime is 12001201122047. The next prime is 12001201122103. The reversal of 12001201122101 is 10122110210021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11988940875025 + 12260247076 = 3462505^2 + 110726^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001201122101 - 2¹⁸ = 12001200859957 is a prime.

Together with 12001201122103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001201122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000600561050 + 6000600561051.

It is an arithmetic number, because the mean of its divisors is an integer number (6000600561051).

Almost surely, 2^{12001201122101} is an apocalyptic number.

It is an amenable number.

12001201122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001201122101 is an equidigital number, since it uses as much as digits as its factorization.

12001201122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001201122101 its reverse (10122110210021), we get a palindrome (22123311332122).

The spelling of 12001201122101 in words is "twelve trillion, one billion, two hundred one million, one hundred twenty-two thousand, one hundred one".