10120200000193 has 2 divisors, whose sum is σ = 10120200000194. Its totient is φ = 10120200000192.

The previous prime is 10120200000179. The next prime is 10120200000223. The reversal of 10120200000193 is 39100000202101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8254634655744 + 1865565344449 = 2873088^2 + 1365857^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120200000193 - 2²¹ = 10120197903041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120200000193.

It is not a weakly prime, because it can be changed into another prime (10120200000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060100000096 + 5060100000097.

It is an arithmetic number, because the mean of its divisors is an integer number (5060100000097).

Almost surely, 2^{10120200000193} is an apocalyptic number.

It is an amenable number.

10120200000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120200000193 is an equidigital number, since it uses as much as digits as its factorization.

10120200000193 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 19.

Adding to 10120200000193 its reverse (39100000202101), we get a palindrome (49220200202294).

The spelling of 10120200000193 in words is "ten trillion, one hundred twenty billion, two hundred million, one hundred ninety-three", and thus it is an aban number.