100001100011093 has 2 divisors, whose sum is σ = 100001100011094. Its totient is φ = 100001100011092.

The previous prime is 100001100011063. The next prime is 100001100011107. The reversal of 100001100011093 is 390110001100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55759419331729 + 44241680679364 = 7467223^2 + 6651442^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001100011093 - 2⁸ = 100001100010837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001100011023) 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, 50000550005546 + 50000550005547.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550005547).

Almost surely, 2^{100001100011093} is an apocalyptic number.

It is an amenable number.

100001100011093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001100011093 is an equidigital number, since it uses as much as digits as its factorization.

100001100011093 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.

Adding to 100001100011093 its reverse (390110001100001), we get a palindrome (490111101111094).

The spelling of 100001100011093 in words is "one hundred trillion, one billion, one hundred million, eleven thousand, ninety-three".