102100202213 has 2 divisors, whose sum is σ = 102100202214. Its totient is φ = 102100202212.

The previous prime is 102100202209. The next prime is 102100202387. The reversal of 102100202213 is 312202001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56476096609 + 45624105604 = 237647^2 + 213598^2 .

It is an emirp because it is prime and its reverse (312202001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100202213 - 2² = 102100202209 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 (102100202203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050101106 + 51050101107.

It is an arithmetic number, because the mean of its divisors is an integer number (51050101107).

Almost surely, 2^102100202213 is an apocalyptic number.

It is an amenable number.

102100202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100202213 is an equidigital number, since it uses as much as digits as its factorization.

102100202213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102100202213 its reverse (312202001201), we get a palindrome (414302203414).

The spelling of 102100202213 in words is "one hundred two billion, one hundred million, two hundred two thousand, two hundred thirteen".