2101211200013 has 2 divisors, whose sum is σ = 2101211200014. Its totient is φ = 2101211200012.

The previous prime is 2101211200007. The next prime is 2101211200061. The reversal of 2101211200013 is 3100021121012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1944524269444 + 156686930569 = 1394462^2 + 395837^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101211200013 - 2⁸ = 2101211199757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101211200513) 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, 1050605600006 + 1050605600007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605600007).

Almost surely, 2^{2101211200013} is an apocalyptic number.

It is an amenable number.

2101211200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101211200013 is an equidigital number, since it uses as much as digits as its factorization.

2101211200013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2101211200013 its reverse (3100021121012), we get a palindrome (5201232321025).

The spelling of 2101211200013 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred thousand, thirteen".