10200112009993 has 2 divisors, whose sum is σ = 10200112009994. Its totient is φ = 10200112009992.

The previous prime is 10200112009943. The next prime is 10200112010029. The reversal of 10200112009993 is 39990021100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6328630768329 + 3871481241664 = 2515677^2 + 1967608^2 .

It is an emirp because it is prime and its reverse (39990021100201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200112009993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200112009903) 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, 5100056004996 + 5100056004997.

It is an arithmetic number, because the mean of its divisors is an integer number (5100056004997).

Almost surely, 2^{10200112009993} is an apocalyptic number.

It is an amenable number.

10200112009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200112009993 is an equidigital number, since it uses as much as digits as its factorization.

10200112009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 10200112009993 in words is "ten trillion, two hundred billion, one hundred twelve million, nine thousand, nine hundred ninety-three".