10200022002193 has 2 divisors, whose sum is σ = 10200022002194. Its totient is φ = 10200022002192.

The previous prime is 10200022002151. The next prime is 10200022002197. The reversal of 10200022002193 is 39120022000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7889172060289 + 2310849941904 = 2808767^2 + 1520148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200022002193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200022002197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100011001096 + 5100011001097.

It is an arithmetic number, because the mean of its divisors is an integer number (5100011001097).

Almost surely, 2^{10200022002193} is an apocalyptic number.

It is an amenable number.

10200022002193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200022002193 is an equidigital number, since it uses as much as digits as its factorization.

10200022002193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10200022002193 its reverse (39120022000201), we get a palindrome (49320044002394).

The spelling of 10200022002193 in words is "ten trillion, two hundred billion, twenty-two million, two thousand, one hundred ninety-three".