110101122091 has 2 divisors, whose sum is σ = 110101122092. Its totient is φ = 110101122090.

The previous prime is 110101122071. The next prime is 110101122101. The reversal of 110101122091 is 190221101011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110101122091 - 2⁹ = 110101121579 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101122041) 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, 55050561045 + 55050561046.

It is an arithmetic number, because the mean of its divisors is an integer number (55050561046).

Almost surely, 2^110101122091 is an apocalyptic number.

110101122091 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101122091 is an equidigital number, since it uses as much as digits as its factorization.

110101122091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110101122091 in words is "one hundred ten billion, one hundred one million, one hundred twenty-two thousand, ninety-one".