12101101012201 has 2 divisors, whose sum is σ = 12101101012202. Its totient is φ = 12101101012200.

The previous prime is 12101101012193. The next prime is 12101101012229. The reversal of 12101101012201 is 10221010110121.

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., 6517686456576 + 5583414555625 = 2552976^2 + 2362925^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101101012201 - 2³ = 12101101012193 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101101012271) 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, 6050550506100 + 6050550506101.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550506101).

Almost surely, 2^{12101101012201} is an apocalyptic number.

It is an amenable number.

12101101012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101101012201 is an equidigital number, since it uses as much as digits as its factorization.

12101101012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101101012201 its reverse (10221010110121), we get a palindrome (22322111122322).

The spelling of 12101101012201 in words is "twelve trillion, one hundred one billion, one hundred one million, twelve thousand, two hundred one".