10211202100013 has 2 divisors, whose sum is σ = 10211202100014. Its totient is φ = 10211202100012.

The previous prime is 10211202099971. The next prime is 10211202100019. The reversal of 10211202100013 is 31000120211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5774226373444 + 4436975726569 = 2402962^2 + 2106413^2 .

It is an emirp because it is prime and its reverse (31000120211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10211202100013 - 2²⁰ = 10211201051437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211202100019) 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, 5105601050006 + 5105601050007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105601050007).

Almost surely, 2^{10211202100013} is an apocalyptic number.

It is an amenable number.

10211202100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211202100013 is an equidigital number, since it uses as much as digits as its factorization.

10211202100013 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 10211202100013 its reverse (31000120211201), we get a palindrome (41211322311214).

The spelling of 10211202100013 in words is "ten trillion, two hundred eleven billion, two hundred two million, one hundred thousand, thirteen".