1011102102193 has 2 divisors, whose sum is σ = 1011102102194. Its totient is φ = 1011102102192.

The previous prime is 1011102102187. The next prime is 1011102102359. The reversal of 1011102102193 is 3912012011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 867789128704 + 143312973489 = 931552^2 + 378567^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011102102193 - 2⁵ = 1011102102161 is a prime.

It is a super-2 number, since 2×1011102102193² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1011102102893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505551051096 + 505551051097.

It is an arithmetic number, because the mean of its divisors is an integer number (505551051097).

Almost surely, 2^{1011102102193} is an apocalyptic number.

It is an amenable number.

1011102102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011102102193 is an equidigital number, since it uses as much as digits as its factorization.

1011102102193 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 22.

Adding to 1011102102193 its reverse (3912012011101), we get a palindrome (4923114113294).

The spelling of 1011102102193 in words is "one trillion, eleven billion, one hundred two million, one hundred two thousand, one hundred ninety-three".