12100101019001 has 2 divisors, whose sum is σ = 12100101019002. Its totient is φ = 12100101019000.

The previous prime is 12100101018959. The next prime is 12100101019003. The reversal of 12100101019001 is 10091010100121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11504578585600 + 595522433401 = 3391840^2 + 771701^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100101019001 - 2⁴² = 7702054507897 is a prime.

It is a Sophie Germain prime.

Together with 12100101019003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12100101019003) 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, 6050050509500 + 6050050509501.

It is an arithmetic number, because the mean of its divisors is an integer number (6050050509501).

Almost surely, 2^{12100101019001} is an apocalyptic number.

It is an amenable number.

12100101019001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100101019001 is an equidigital number, since it uses as much as digits as its factorization.

12100101019001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 12100101019001 its reverse (10091010100121), we get a palindrome (22191111119122).

The spelling of 12100101019001 in words is "twelve trillion, one hundred billion, one hundred one million, nineteen thousand, one".