110110101093 has 24 divisors (see below), whose sum is σ = 159405935832. Its totient is φ = 73241653248.

The previous prime is 110110101091. The next prime is 110110101097. The reversal of 110110101093 is 390101011011.

It can be written as a sum of positive squares in 4 ways, for example, as 10334348964 + 99775752129 = 101658^2 + 315873^2 .

It is not a de Polignac number, because 110110101093 - 2¹ = 110110101091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110101091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10548805 + ... + 10559237.

It is an arithmetic number, because the mean of its divisors is an integer number (6641913993).

Almost surely, 2^110110101093 is an apocalyptic number.

It is an amenable number.

110110101093 is a deficient number, since it is larger than the sum of its proper divisors (49295834739).

110110101093 is a wasteful number, since it uses less digits than its factorization.

110110101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12965 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 110110101093 in words is "one hundred ten billion, one hundred ten million, one hundred one thousand, ninety-three".