100210120200193 has 2 divisors, whose sum is σ = 100210120200194. Its totient is φ = 100210120200192.

The previous prime is 100210120200173. The next prime is 100210120200209. The reversal of 100210120200193 is 391002021012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80963500112784 + 19246620087409 = 8997972^2 + 4387097^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210120200193 - 2⁵ = 100210120200161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100210120200173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105060100096 + 50105060100097.

It is an arithmetic number, because the mean of its divisors is an integer number (50105060100097).

Almost surely, 2^{100210120200193} is an apocalyptic number.

It is an amenable number.

100210120200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210120200193 is an equidigital number, since it uses as much as digits as its factorization.

100210120200193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100210120200193 its reverse (391002021012001), we get a palindrome (491212141212194).

The spelling of 100210120200193 in words is "one hundred trillion, two hundred ten billion, one hundred twenty million, two hundred thousand, one hundred ninety-three".