100102002210193 has 2 divisors, whose sum is σ = 100102002210194. Its totient is φ = 100102002210192.

The previous prime is 100102002210181. The next prime is 100102002210257. The reversal of 100102002210193 is 391012200201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83906754163969 + 16195248046224 = 9160063^2 + 4024332^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102002210193 - 2³⁷ = 99964563256721 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102002210143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051001105096 + 50051001105097.

It is an arithmetic number, because the mean of its divisors is an integer number (50051001105097).

Almost surely, 2^{100102002210193} is an apocalyptic number.

It is an amenable number.

100102002210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102002210193 is an equidigital number, since it uses as much as digits as its factorization.

100102002210193 is an evil number, because the sum of its binary digits is even.

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

Adding to 100102002210193 its reverse (391012200201001), we get a palindrome (491114202411194).

The spelling of 100102002210193 in words is "one hundred trillion, one hundred two billion, two million, two hundred ten thousand, one hundred ninety-three".