102200000113 has 8 divisors (see below), whose sum is σ = 102688875432. Its totient is φ = 101711988096.

The previous prime is 102200000093. The next prime is 102200000129. The reversal of 102200000113 is 311000002201.

It can be written as a sum of positive squares in 4 ways, for example, as 32763534049 + 69436466064 = 181007^2 + 263508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102200000113 - 2¹³ = 102199991921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200000113.

It is not an unprimeable number, because it can be changed into a prime (102200004113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22131 + ... + 452647.

It is an arithmetic number, because the mean of its divisors is an integer number (12836109429).

Almost surely, 2^102200000113 is an apocalyptic number.

It is an amenable number.

102200000113 is a deficient number, since it is larger than the sum of its proper divisors (488875319).

102200000113 is an equidigital number, since it uses as much as digits as its factorization.

102200000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431651.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102200000113 its reverse (311000002201), we get a palindrome (413200002314).

The spelling of 102200000113 in words is "one hundred two billion, two hundred million, one hundred thirteen", and thus it is an aban number.