10102200001193 has 2 divisors, whose sum is σ = 10102200001194. Its totient is φ = 10102200001192.

The previous prime is 10102200001163. The next prime is 10102200001217. The reversal of 10102200001193 is 39110000220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7068722911849 + 3033477089344 = 2658707^2 + 1741688^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102200001193 - 2²⁰ = 10102198952617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102200001163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100000596 + 5051100000597.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100000597).

Almost surely, 2^{10102200001193} is an apocalyptic number.

It is an amenable number.

10102200001193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102200001193 is an equidigital number, since it uses as much as digits as its factorization.

10102200001193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10102200001193 its reverse (39110000220101), we get a palindrome (49212200221294).

The spelling of 10102200001193 in words is "ten trillion, one hundred two billion, two hundred million, one thousand, one hundred ninety-three".