1111000011121 has 32 divisors (see below), whose sum is σ = 1495450268928. Its totient is φ = 797107703040.

The previous prime is 1111000011101. The next prime is 1111000011137. The reversal of 1111000011121 is 1211100001111.

It is not a de Polignac number, because 1111000011121 - 2⁵ = 1111000011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111000011098 and 1111000011107.

It is not an unprimeable number, because it can be changed into a prime (1111000011101) 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 31 ways as a sum of consecutive naturals, for example, 1000450 + ... + 1795243.

It is an arithmetic number, because the mean of its divisors is an integer number (46732820904).

Almost surely, 2^{1111000011121} is an apocalyptic number.

1111000011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111000011121 is a deficient number, since it is larger than the sum of its proper divisors (384450257807).

1111000011121 is a wasteful number, since it uses less digits than its factorization.

1111000011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796121.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1111000011121 its reverse (1211100001111), we get a palindrome (2322100012232).

The spelling of 1111000011121 in words is "one trillion, one hundred eleven billion, eleven thousand, one hundred twenty-one".