1100011121001 has 12 divisors (see below), whose sum is σ = 1711128410628. Its totient is φ = 676929920544.

The previous prime is 1100011120997. The next prime is 1100011121003. The reversal of 1100011121001 is 1001211100011.

It can be written as a sum of positive squares in 2 ways, for example, as 391550547600 + 708460573401 = 625740^2 + 841701^2 .

It is not a de Polignac number, because 1100011121001 - 2² = 1100011120997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1100011121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4700902110 + ... + 4700902343.

It is an arithmetic number, because the mean of its divisors is an integer number (142594034219).

Almost surely, 2^{1100011121001} is an apocalyptic number.

It is an amenable number.

1100011121001 is a deficient number, since it is larger than the sum of its proper divisors (611117289627).

1100011121001 is a wasteful number, since it uses less digits than its factorization.

1100011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401804472 (or 9401804469 counting only the distinct ones).

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

Adding to 1100011121001 its reverse (1001211100011), we get a palindrome (2101222221012).

The spelling of 1100011121001 in words is "one trillion, one hundred billion, eleven million, one hundred twenty-one thousand, one".