100100100000091 has 2 divisors, whose sum is σ = 100100100000092. Its totient is φ = 100100100000090.

The previous prime is 100100100000077. The next prime is 100100100000097. The reversal of 100100100000091 is 190000001001001.

It is a strong prime.

It is an emirp because it is prime and its reverse (190000001001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100100000091 - 2³⁹ = 99550344186203 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100100000097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050000045 + 50050050000046.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050000046).

Almost surely, 2^{100100100000091} is an apocalyptic number.

100100100000091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100000091 is an equidigital number, since it uses as much as digits as its factorization.

100100100000091 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 100100100000091 its reverse (190000001001001), we get a palindrome (290100101001092).

The spelling of 100100100000091 in words is "one hundred trillion, one hundred billion, one hundred million, ninety-one", and thus it is an aban number.