1110000011121 has 40 divisors (see below), whose sum is σ = 1696899864704. Its totient is φ = 722709721440.

The previous prime is 1110000011119. The next prime is 1110000011261. The reversal of 1110000011121 is 1211100000111.

It is not a de Polignac number, because 1110000011121 - 2¹ = 1110000011119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1110000031121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61225560 + ... + 61243686.

Almost surely, 2^{1110000011121} is an apocalyptic number.

It is an amenable number.

1110000011121 is a deficient number, since it is larger than the sum of its proper divisors (586899853583).

1110000011121 is a wasteful number, since it uses less digits than its factorization.

1110000011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35763 (or 35754 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110000011121 its reverse (1211100000111), we get a palindrome (2321100011232).

The spelling of 1110000011121 in words is "one trillion, one hundred ten billion, eleven thousand, one hundred twenty-one".