10100200011193 has 2 divisors, whose sum is σ = 10100200011194. Its totient is φ = 10100200011192.

The previous prime is 10100200011173. The next prime is 10100200011211. The reversal of 10100200011193 is 39111000200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9016585634169 + 1083614377024 = 3002763^2 + 1040968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100200011193 is a prime.

It is a super-2 number, since 2×10100200011193² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100200011193.

It is not a weakly prime, because it can be changed into another prime (10100200011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100005596 + 5050100005597.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100005597).

Almost surely, 2^{10100200011193} is an apocalyptic number.

It is an amenable number.

10100200011193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200011193 is an equidigital number, since it uses as much as digits as its factorization.

10100200011193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10100200011193 its reverse (39111000200101), we get a palindrome (49211200211294).

The spelling of 10100200011193 in words is "ten trillion, one hundred billion, two hundred million, eleven thousand, one hundred ninety-three".