1111112111001 has 16 divisors (see below), whose sum is σ = 1491501298688. Its totient is φ = 735733530000.

The previous prime is 1111112110981. The next prime is 1111112111003. The reversal of 1111112111001 is 1001112111111.

It is not a de Polignac number, because 1111112111001 - 2⁶ = 1111112110937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1111112111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163170 + ... + 3496836.

It is an arithmetic number, because the mean of its divisors is an integer number (93218831168).

Almost surely, 2^{1111112111001} is an apocalyptic number.

It is an amenable number.

1111112111001 is a deficient number, since it is larger than the sum of its proper divisors (380389187687).

1111112111001 is a wasteful number, since it uses less digits than its factorization.

1111112111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341172.

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

Adding to 1111112111001 its reverse (1001112111111), we get a palindrome (2112224222112).

The spelling of 1111112111001 in words is "one trillion, one hundred eleven billion, one hundred twelve million, one hundred eleven thousand, one".