110000110101091 has 16 divisors (see below), whose sum is σ = 126622309381120. Its totient is φ = 93604922542080.

The previous prime is 110000110101053. The next prime is 110000110101103. The reversal of 110000110101091 is 190101011000011.

It is a cyclic number.

It is not a de Polignac number, because 110000110101091 - 2¹⁵ = 110000110068323 is a prime.

It is a super-3 number, since 3×110000110101091³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110000110101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34318051 + ... + 37386211.

It is an arithmetic number, because the mean of its divisors is an integer number (7913894336320).

Almost surely, 2^{110000110101091} is an apocalyptic number.

110000110101091 is a deficient number, since it is larger than the sum of its proper divisors (16622199280029).

110000110101091 is a wasteful number, since it uses less digits than its factorization.

110000110101091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105154.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 110000110101091 in words is "one hundred ten trillion, one hundred ten million, one hundred one thousand, ninety-one".