1110110100993 has 6 divisors (see below), whose sum is σ = 1603492368114. Its totient is φ = 740073400656.

The previous prime is 1110110100991. The next prime is 1110110101003. The reversal of 1110110100993 is 3990010110111.

It can be written as a sum of positive squares in only one way, i.e., 859000873329 + 251109227664 = 926823^2 + 501108^2 .

It is not a de Polignac number, because 1110110100993 - 2¹ = 1110110100991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1110110100991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61672783380 + ... + 61672783397.

It is an arithmetic number, because the mean of its divisors is an integer number (267248728019).

Almost surely, 2^{1110110100993} is an apocalyptic number.

It is an amenable number.

1110110100993 is a deficient number, since it is larger than the sum of its proper divisors (493382267121).

1110110100993 is a wasteful number, since it uses less digits than its factorization.

1110110100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123345566783 (or 123345566780 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 27.

The spelling of 1110110100993 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred thousand, nine hundred ninety-three".