1100110121001 has 24 divisors (see below), whose sum is σ = 1634117805320. Its totient is φ = 712656838656.

The previous prime is 1100110120957. The next prime is 1100110121017. The reversal of 1100110121001 is 1001210110011.

It can be written as a sum of positive squares in 4 ways, for example, as 272781621225 + 827328499776 = 522285^2 + 909576^2 .

It is not a de Polignac number, because 1100110121001 - 2²⁵ = 1100076566569 is a prime.

It is a super-2 number, since 2×1100110121001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100110121051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891930 + ... + 2404083.

Almost surely, 2^{1100110121001} is an apocalyptic number.

It is an amenable number.

1100110121001 is a deficient number, since it is larger than the sum of its proper divisors (534007684319).

1100110121001 is a wasteful number, since it uses less digits than its factorization.

1100110121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296825 (or 4296822 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100110121001 its reverse (1001210110011), we get a palindrome (2101320231012).

The spelling of 1100110121001 in words is "one trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, one".