1000100000091 has 16 divisors (see below), whose sum is σ = 1384842867584. Its totient is φ = 641508081984.

The previous prime is 1000100000087. The next prime is 1000100000093. The reversal of 1000100000091 is 1900000010001.

It is not a de Polignac number, because 1000100000091 - 2² = 1000100000087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000100000093) 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 in 15 ways as a sum of consecutive naturals, for example, 57847426 + ... + 57864711.

It is an arithmetic number, because the mean of its divisors is an integer number (86552679224).

Almost surely, 2^{1000100000091} is an apocalyptic number.

1000100000091 is a deficient number, since it is larger than the sum of its proper divisors (384742867493).

1000100000091 is a wasteful number, since it uses less digits than its factorization.

1000100000091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115712250.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1000100000091 its reverse (1900000010001), we get a palindrome (2900100010092).

The spelling of 1000100000091 in words is "one trillion, one hundred million, ninety-one", and thus it is an aban number.