10011110111121 has 16 divisors (see below), whose sum is σ = 15448126515200. Its totient is φ = 5648221255248.

The previous prime is 10011110111077. The next prime is 10011110111147. The reversal of 10011110111121 is 12111101111001.

10011110111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011110111121 - 2¹⁸ = 10011109848977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011110111097 and 10011110111106.

It is not an unprimeable number, because it can be changed into a prime (10011110111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017210551 + ... + 3017213868.

It is an arithmetic number, because the mean of its divisors is an integer number (965507907200).

Almost surely, 2^{10011110111121} is an apocalyptic number.

It is an amenable number.

10011110111121 is a deficient number, since it is larger than the sum of its proper divisors (5437016404079).

10011110111121 is an equidigital number, since it uses as much as digits as its factorization.

10011110111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034424508.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10011110111121 its reverse (12111101111001), we get a palindrome (22122211222122).

The spelling of 10011110111121 in words is "ten trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".