12101100001 has 2 divisors, whose sum is σ = 12101100002. Its totient is φ = 12101100000.

The previous prime is 12101099909. The next prime is 12101100017. The reversal of 12101100001 is 10000110121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11288850001 + 812250000 = 106249^2 + 28500^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101100001 - 2⁷ = 12101099873 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050550000 + 6050550001.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550001).

Almost surely, 2^12101100001 is an apocalyptic number.

It is an amenable number.

12101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101100001 is an equidigital number, since it uses as much as digits as its factorization.

12101100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12101100001 its reverse (10000110121), we get a palindrome (22101210122).

The spelling of 12101100001 in words is "twelve billion, one hundred one million, one hundred thousand, one".