102100213313173 has 2 divisors, whose sum is σ = 102100213313174. Its totient is φ = 102100213313172.

The previous prime is 102100213313149. The next prime is 102100213313179. The reversal of 102100213313173 is 371313312001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102079964592369 + 20248720804 = 10103463^2 + 142298^2 .

It is an emirp because it is prime and its reverse (371313312001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100213313173 - 2⁹ = 102100213312661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100213313179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050106656586 + 51050106656587.

It is an arithmetic number, because the mean of its divisors is an integer number (51050106656587).

Almost surely, 2^{102100213313173} is an apocalyptic number.

It is an amenable number.

102100213313173 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100213313173 is an equidigital number, since it uses as much as digits as its factorization.

102100213313173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 102100213313173 its reverse (371313312001201), we get a palindrome (473413525314374).

The spelling of 102100213313173 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, three hundred thirteen thousand, one hundred seventy-three".