1100110001000 has 96 divisors (see below), whose sum is σ = 2734592491800. Its totient is φ = 414158950400.

The previous prime is 1100110000999. The next prime is 1100110001063. The reversal of 1100110001000 is 1000110011.

It can be written as a sum of positive squares in 12 ways, for example, as 12473762596 + 1087636238404 = 111686^2 + 1042898^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614305 + ... + 2192304.

Almost surely, 2^{1100110001000} is an apocalyptic number.

1100110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100110001000 is an abundant number, since it is smaller than the sum of its proper divisors (1634482490800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100110001000 is a wasteful number, since it uses less digits than its factorization.

1100110001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806664 (or 3806633 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1100110001000 its reverse (1000110011), we get a palindrome (1101110111011).

The spelling of 1100110001000 in words is "one trillion, one hundred billion, one hundred ten million, one thousand".