102205309993 has 2 divisors, whose sum is σ = 102205309994. Its totient is φ = 102205309992.

The previous prime is 102205309963. The next prime is 102205310027. The reversal of 102205309993 is 399903502201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85653972889 + 16551337104 = 292667^2 + 128652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102205309993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102205309963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102654996 + 51102654997.

It is an arithmetic number, because the mean of its divisors is an integer number (51102654997).

Almost surely, 2^102205309993 is an apocalyptic number.

It is an amenable number.

102205309993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205309993 is an equidigital number, since it uses as much as digits as its factorization.

102205309993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 43.

The spelling of 102205309993 in words is "one hundred two billion, two hundred five million, three hundred nine thousand, nine hundred ninety-three".