1100233314121 has 24 divisors (see below), whose sum is σ = 1197532828800. Its totient is φ = 1010032396800.

The previous prime is 1100233314097. The next prime is 1100233314139. The reversal of 1100233314121 is 1214133320011.

It is a de Polignac number, because none of the positive numbers 2^k-1100233314121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100233314092 and 1100233314101.

It is not an unprimeable number, because it can be changed into a prime (1100233312121) 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, 78184516 + ... + 78198586.

It is an arithmetic number, because the mean of its divisors is an integer number (49897201200).

Almost surely, 2^{1100233314121} is an apocalyptic number.

It is an amenable number.

1100233314121 is a deficient number, since it is larger than the sum of its proper divisors (97299514679).

1100233314121 is a wasteful number, since it uses less digits than its factorization.

1100233314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20745 (or 20728 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1100233314121 its reverse (1214133320011), we get a palindrome (2314366634132).

The spelling of 1100233314121 in words is "one trillion, one hundred billion, two hundred thirty-three million, three hundred fourteen thousand, one hundred twenty-one".