100001010091 has 2 divisors, whose sum is σ = 100001010092. Its totient is φ = 100001010090.

The previous prime is 100001010077. The next prime is 100001010127. The reversal of 100001010091 is 190010100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100001010091 - 2⁹ = 100001009579 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505045 + 50000505046.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505046).

Almost surely, 2^100001010091 is an apocalyptic number.

100001010091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001010091 is an equidigital number, since it uses as much as digits as its factorization.

100001010091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100001010091 its reverse (190010100001), we get a palindrome (290011110092).

It can be divided in two parts, 1000010 and 10091, that added together give a palindrome (1010101).

The spelling of 100001010091 in words is "one hundred billion, one million, ten thousand, ninety-one".