1100011109985 has 24 divisors (see below), whose sum is σ = 1915012081320. Its totient is φ = 584110697472.

The previous prime is 1100011109983. The next prime is 1100011110031. The reversal of 1100011109985 is 5899011100011.

It can be written as a sum of positive squares in 4 ways, for example, as 151660398096 + 948350711889 = 389436^2 + 973833^2 .

It is not a de Polignac number, because 1100011109985 - 2¹ = 1100011109983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100011109983) 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, 53362384 + ... + 53382993.

It is an arithmetic number, because the mean of its divisors is an integer number (79792170055).

Almost surely, 2^{1100011109985} is an apocalyptic number.

1100011109985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100011109985 is a deficient number, since it is larger than the sum of its proper divisors (815000971335).

1100011109985 is a wasteful number, since it uses less digits than its factorization.

1100011109985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106745617 (or 106745614 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 36.

Adding to 1100011109985 its reverse (5899011100011), we get a palindrome (6999022209996).

The spelling of 1100011109985 in words is "one trillion, one hundred billion, eleven million, one hundred nine thousand, nine hundred eighty-five".