110011122001121 has 8 divisors (see below), whose sum is σ = 121702444826688. Its totient is φ = 98601517798000.

The previous prime is 110011122001097. The next prime is 110011122001127. The reversal of 110011122001121 is 121100221110011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110011122001121 - 2²⁶ = 110011054892257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110011122001096 and 110011122001105.

It is not an unprimeable number, because it can be changed into a prime (110011122001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70429654790 + ... + 70429656351.

It is an arithmetic number, because the mean of its divisors is an integer number (15212805603336).

Almost surely, 2^{110011122001121} is an apocalyptic number.

110011122001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011122001121 is a deficient number, since it is larger than the sum of its proper divisors (11691322825567).

110011122001121 is a wasteful number, since it uses less digits than its factorization.

110011122001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140859311223.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110011122001121 its reverse (121100221110011), we get a palindrome (231111343111132).

The spelling of 110011122001121 in words is "one hundred ten trillion, eleven billion, one hundred twenty-two million, one thousand, one hundred twenty-one".