1100100102193 has 2 divisors, whose sum is σ = 1100100102194. Its totient is φ = 1100100102192.

The previous prime is 1100100102089. The next prime is 1100100102203. The reversal of 1100100102193 is 3912010010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 925582533184 + 174517569009 = 962072^2 + 417753^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100100102193 - 2³⁷ = 962661148721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100100102193.

It is not a weakly prime, because it can be changed into another prime (1100100102293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050051096 + 550050051097.

It is an arithmetic number, because the mean of its divisors is an integer number (550050051097).

Almost surely, 2^{1100100102193} is an apocalyptic number.

It is an amenable number.

1100100102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100102193 is an equidigital number, since it uses as much as digits as its factorization.

1100100102193 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.

The spelling of 1100100102193 in words is "one trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred ninety-three".