102820213 has 2 divisors, whose sum is σ = 102820214. Its totient is φ = 102820212.

The previous prime is 102820177. The next prime is 102820219. The reversal of 102820213 is 312028201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87272964 + 15547249 = 9342^2 + 3943^2 .

It is a cyclic number.

It is not a de Polignac number, because 102820213 - 2⁹ = 102819701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102820219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51410106 + 51410107.

It is an arithmetic number, because the mean of its divisors is an integer number (51410107).

Almost surely, 2^102820213 is an apocalyptic number.

It is an amenable number.

102820213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102820213 is an equidigital number, since it uses as much as digits as its factorization.

102820213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 102820213 is about 10140.0302267794. The cubic root of 102820213 is about 468.4819179879.

Adding to 102820213 its reverse (312028201), we get a palindrome (414848414).

The spelling of 102820213 in words is "one hundred two million, eight hundred twenty thousand, two hundred thirteen".