110101110111091 has 32 divisors (see below), whose sum is σ = 124233683558400. Its totient is φ = 96769620187200.

The previous prime is 110101110111071. The next prime is 110101110111101. The reversal of 110101110111091 is 190111011101011.

It is a happy number.

It is not a de Polignac number, because 110101110111091 - 2⁴³ = 101305017088883 is a prime.

It is a super-2 number, since 2×110101110111091² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101110111061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340319655 + ... + 340643023.

It is an arithmetic number, because the mean of its divisors is an integer number (3882302611200).

Almost surely, 2^{110101110111091} is an apocalyptic number.

110101110111091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110101110111091 is a deficient number, since it is larger than the sum of its proper divisors (14132573447309).

110101110111091 is an equidigital number, since it uses as much as digits as its factorization.

110101110111091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324512 (or 324450 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 19.

The spelling of 110101110111091 in words is "one hundred ten trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, ninety-one".