1100111000121 has 96 divisors (see below), whose sum is σ = 1926042609920. Its totient is φ = 591933629952.

The previous prime is 1100111000089. The next prime is 1100111000123. The reversal of 1100111000121 is 1210001110011.

It is not a de Polignac number, because 1100111000121 - 2⁵ = 1100111000089 is a prime.

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 (1100111000123) 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 95 ways as a sum of consecutive naturals, for example, 10875051 + ... + 10975743.

Almost surely, 2^{1100111000121} is an apocalyptic number.

It is an amenable number.

1100111000121 is a deficient number, since it is larger than the sum of its proper divisors (825931609799).

1100111000121 is a wasteful number, since it uses less digits than its factorization.

1100111000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100895 (or 100892 counting only the distinct ones).

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

Adding to 1100111000121 its reverse (1210001110011), we get a palindrome (2310112110132).

The spelling of 1100111000121 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.