1011002110193 has 2 divisors, whose sum is σ = 1011002110194. Its totient is φ = 1011002110192.

The previous prime is 1011002110187. The next prime is 1011002110219. The reversal of 1011002110193 is 3910112001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006697175649 + 4304934544 = 1003343^2 + 65612^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011002110193 - 2²⁴ = 1010985332977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011002110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505501055096 + 505501055097.

It is an arithmetic number, because the mean of its divisors is an integer number (505501055097).

Almost surely, 2^{1011002110193} is an apocalyptic number.

It is an amenable number.

1011002110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011002110193 is an equidigital number, since it uses as much as digits as its factorization.

1011002110193 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 20.

Adding to 1011002110193 its reverse (3910112001101), we get a palindrome (4921114111294).

The spelling of 1011002110193 in words is "one trillion, eleven billion, two million, one hundred ten thousand, one hundred ninety-three".