12032101101001 has 2 divisors, whose sum is σ = 12032101101002. Its totient is φ = 12032101101000.

The previous prime is 12032101100993. The next prime is 12032101101037. The reversal of 12032101101001 is 10010110123021.

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., 11850668550400 + 181432550601 = 3442480^2 + 425949^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032101101001 - 2³ = 12032101100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12032101102001) 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, 6016050550500 + 6016050550501.

It is an arithmetic number, because the mean of its divisors is an integer number (6016050550501).

Almost surely, 2^{12032101101001} is an apocalyptic number.

It is an amenable number.

12032101101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12032101101001 is an equidigital number, since it uses as much as digits as its factorization.

12032101101001 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 12032101101001 its reverse (10010110123021), we get a palindrome (22042211224022).

The spelling of 12032101101001 in words is "twelve trillion, thirty-two billion, one hundred one million, one hundred one thousand, one".