12002100101213 has 8 divisors (see below), whose sum is σ = 12137021321400. Its totient is φ = 11867180351488.

The previous prime is 12002100101207. The next prime is 12002100101221. The reversal of 12002100101213 is 31210100120021.

It can be written as a sum of positive squares in 4 ways, for example, as 4405141938649 + 7596958162564 = 2098843^2 + 2756258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12002100101213 - 2⁶ = 12002100101149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002100101273) 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 in 7 ways as a sum of consecutive naturals, for example, 31105373 + ... + 31488861.

It is an arithmetic number, because the mean of its divisors is an integer number (1517127665175).

Almost surely, 2^{12002100101213} is an apocalyptic number.

It is an amenable number.

12002100101213 is a deficient number, since it is larger than the sum of its proper divisors (134921220187).

12002100101213 is an equidigital number, since it uses as much as digits as its factorization.

12002100101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735231.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12002100101213 its reverse (31210100120021), we get a palindrome (43212200221234).

The spelling of 12002100101213 in words is "twelve trillion, two billion, one hundred million, one hundred one thousand, two hundred thirteen".