100200122213 has 2 divisors, whose sum is σ = 100200122214. Its totient is φ = 100200122212.

The previous prime is 100200122189. The next prime is 100200122237. The reversal of 100200122213 is 312221002001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100200122189) and next prime (100200122237).

It can be written as a sum of positive squares in only one way, i.e., 74734984129 + 25465138084 = 273377^2 + 159578^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200122213 - 2¹⁸ = 100199860069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200122273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100061106 + 50100061107.

It is an arithmetic number, because the mean of its divisors is an integer number (50100061107).

Almost surely, 2^100200122213 is an apocalyptic number.

It is an amenable number.

100200122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200122213 is an equidigital number, since it uses as much as digits as its factorization.

100200122213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100200122213 its reverse (312221002001), we get a palindrome (412421124214).

The spelling of 100200122213 in words is "one hundred billion, two hundred million, one hundred twenty-two thousand, two hundred thirteen".