1100332310121 has 16 divisors (see below), whose sum is σ = 1778314845120. Its totient is φ = 666868066560.

The previous prime is 1100332309987. The next prime is 1100332310191. The reversal of 1100332310121 is 1210132330011.

1100332310121 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 332 + 310 + 1 + 21 = 666.

It is not a de Polignac number, because 1100332310121 - 2¹⁴ = 1100332293737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100332310094 and 1100332310103.

It is not an unprimeable number, because it can be changed into a prime (1100332310191) 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 15 ways as a sum of consecutive naturals, for example, 1852411000 + ... + 1852411593.

It is an arithmetic number, because the mean of its divisors is an integer number (111144677820).

Almost surely, 2^{1100332310121} is an apocalyptic number.

1100332310121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100332310121 is a deficient number, since it is larger than the sum of its proper divisors (677982534999).

1100332310121 is a wasteful number, since it uses less digits than its factorization.

1100332310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704822613 (or 3704822607 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100332310121 its reverse (1210132330011), we get a palindrome (2310464640132).

The spelling of 1100332310121 in words is "one trillion, one hundred billion, three hundred thirty-two million, three hundred ten thousand, one hundred twenty-one".