100211201122213 has 2 divisors, whose sum is σ = 100211201122214. Its totient is φ = 100211201122212.

The previous prime is 100211201122181. The next prime is 100211201122229. The reversal of 100211201122213 is 312221102112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89253499023649 + 10957702098564 = 9447407^2 + 3310242^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211201122213 - 2⁵ = 100211201122181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211201120213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105600561106 + 50105600561107.

It is an arithmetic number, because the mean of its divisors is an integer number (50105600561107).

Almost surely, 2^{100211201122213} is an apocalyptic number.

It is an amenable number.

100211201122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211201122213 is an equidigital number, since it uses as much as digits as its factorization.

100211201122213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100211201122213 its reverse (312221102112001), we get a palindrome (412432303234214).

The spelling of 100211201122213 in words is "one hundred trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred thirteen".