100110111091 has 2 divisors, whose sum is σ = 100110111092. Its totient is φ = 100110111090.

The previous prime is 100110111089. The next prime is 100110111109. The reversal of 100110111091 is 190111011001.

Together with next prime (100110111109) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110111091 - 2¹ = 100110111089 is a prime.

It is a super-2 number, since 2×100110111091² (a number of 23 digits) contains 22 as substring.

Together with 100110111089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100110111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055545 + 50055055546.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055546).

Almost surely, 2^100110111091 is an apocalyptic number.

100110111091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110111091 is an equidigital number, since it uses as much as digits as its factorization.

100110111091 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 16.

Adding to 100110111091 its reverse (190111011001), we get a palindrome (290221122092).

The spelling of 100110111091 in words is "one hundred billion, one hundred ten million, one hundred eleven thousand, ninety-one".