102100300213 has 2 divisors, whose sum is σ = 102100300214. Its totient is φ = 102100300212.

The previous prime is 102100300123. The next prime is 102100300223. The reversal of 102100300213 is 312003001201.

Together with previous prime (102100300123) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87991136689 + 14109163524 = 296633^2 + 118782^2 .

It is an emirp because it is prime and its reverse (312003001201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100300213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100300193 and 102100300202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100300223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050150106 + 51050150107.

It is an arithmetic number, because the mean of its divisors is an integer number (51050150107).

Almost surely, 2^102100300213 is an apocalyptic number.

It is an amenable number.

102100300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100300213 is an equidigital number, since it uses as much as digits as its factorization.

102100300213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102100300213 its reverse (312003001201), we get a palindrome (414103301414).

The spelling of 102100300213 in words is "one hundred two billion, one hundred million, three hundred thousand, two hundred thirteen".