12001102011001 has 2 divisors, whose sum is σ = 12001102011002. Its totient is φ = 12001102011000.

The previous prime is 12001102010981. The next prime is 12001102011007. The reversal of 12001102011001 is 10011020110021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6237506250000 + 5763595761001 = 2497500^2 + 2400749^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001102011001 - 2¹⁷ = 12001101879929 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001102011007) 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, 6000551005500 + 6000551005501.

It is an arithmetic number, because the mean of its divisors is an integer number (6000551005501).

Almost surely, 2^{12001102011001} is an apocalyptic number.

It is an amenable number.

12001102011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001102011001 is an equidigital number, since it uses as much as digits as its factorization.

12001102011001 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 10.

Adding to 12001102011001 its reverse (10011020110021), we get a palindrome (22012122121022).

It can be divided in two parts, 1 and 2001102011001, that added together give a palindrome (2001102011002).

The spelling of 12001102011001 in words is "twelve trillion, one billion, one hundred two million, eleven thousand, one".