200414112010193 has 2 divisors, whose sum is σ = 200414112010194. Its totient is φ = 200414112010192.

The previous prime is 200414112010081. The next prime is 200414112010199. The reversal of 200414112010193 is 391010211414002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153741946129984 + 46672165880209 = 12399272^2 + 6831703^2 .

It is a cyclic number.

It is not a de Polignac number, because 200414112010193 - 2¹⁰ = 200414112009169 is a prime.

It is not a weakly prime, because it can be changed into another prime (200414112010199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100207056005096 + 100207056005097.

It is an arithmetic number, because the mean of its divisors is an integer number (100207056005097).

Almost surely, 2^{200414112010193} is an apocalyptic number.

It is an amenable number.

200414112010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

200414112010193 is an equidigital number, since it uses as much as digits as its factorization.

200414112010193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 200414112010193 its reverse (391010211414002), we get a palindrome (591424323424195).

The spelling of 200414112010193 in words is "two hundred trillion, four hundred fourteen billion, one hundred twelve million, ten thousand, one hundred ninety-three".