11100001100093 has 2 divisors, whose sum is σ = 11100001100094. Its totient is φ = 11100001100092.

The previous prime is 11100001100087. The next prime is 11100001100117. The reversal of 11100001100093 is 39000110000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10940363294884 + 159637805209 = 3307622^2 + 399547^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100001100093 - 2¹⁸ = 11100000837949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100001190093) 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, 5550000550046 + 5550000550047.

It is an arithmetic number, because the mean of its divisors is an integer number (5550000550047).

Almost surely, 2^{11100001100093} is an apocalyptic number.

It is an amenable number.

11100001100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100001100093 is an equidigital number, since it uses as much as digits as its factorization.

11100001100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 11100001100093 in words is "eleven trillion, one hundred billion, one million, one hundred thousand, ninety-three".