1100333112121 has 12 divisors (see below), whose sum is σ = 1161360440292. Its totient is φ = 1042360661664.

The previous prime is 1100333112113. The next prime is 1100333112133. The reversal of 1100333112121 is 1212113330011.

It can be written as a sum of positive squares in 2 ways, for example, as 854774211600 + 245558900521 = 924540^2 + 495539^2 .

It is not a de Polignac number, because 1100333112121 - 2³ = 1100333112113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100333112191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6952951 + ... + 7109443.

It is an arithmetic number, because the mean of its divisors is an integer number (96780036691).

Almost surely, 2^{1100333112121} is an apocalyptic number.

It is an amenable number.

1100333112121 is a deficient number, since it is larger than the sum of its proper divisors (61027328171).

1100333112121 is a wasteful number, since it uses less digits than its factorization.

1100333112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176008 (or 175989 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1100333112121 its reverse (1212113330011), we get a palindrome (2312446442132).

The spelling of 1100333112121 in words is "one trillion, one hundred billion, three hundred thirty-three million, one hundred twelve thousand, one hundred twenty-one".