1111112101001 has 16 divisors (see below), whose sum is σ = 1357104813696. Its totient is φ = 887982141696.

The previous prime is 1111112100929. The next prime is 1111112101063. The reversal of 1111112101001 is 1001012111111.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1111112101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111112191001) 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 15 ways as a sum of consecutive naturals, for example, 43618466 + ... + 43643931.

It is an arithmetic number, because the mean of its divisors is an integer number (84819050856).

Almost surely, 2^{1111112101001} is an apocalyptic number.

It is an amenable number.

1111112101001 is a deficient number, since it is larger than the sum of its proper divisors (245992712695).

1111112101001 is a wasteful number, since it uses less digits than its factorization.

1111112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87262528.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1111112101001 its reverse (1001012111111), we get a palindrome (2112124212112).

The spelling of 1111112101001 in words is "one trillion, one hundred eleven billion, one hundred twelve million, one hundred one thousand, one".