1100111111121 has 16 divisors (see below), whose sum is σ = 1643409229248. Its totient is φ = 648714168000.

The previous prime is 1100111111081. The next prime is 1100111111159. The reversal of 1100111111121 is 1211111110011.

It is not a de Polignac number, because 1100111111121 - 2³¹ = 1097963627473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100111111097 and 1100111111106.

It is not an unprimeable number, because it can be changed into a prime (1100111111521) 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, 450494730 + ... + 450497171.

It is an arithmetic number, because the mean of its divisors is an integer number (102713076828).

Almost surely, 2^{1100111111121} is an apocalyptic number.

1100111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100111111121 is a deficient number, since it is larger than the sum of its proper divisors (543298118127).

1100111111121 is a wasteful number, since it uses less digits than its factorization.

1100111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900991952.

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

Adding to 1100111111121 its reverse (1211111110011), we get a palindrome (2311222221132).

The spelling of 1100111111121 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".