2011111000001 has 8 divisors (see below), whose sum is σ = 2033777095200. Its totient is φ = 1988446445920.

The previous prime is 2011110999977. The next prime is 2011111000009. The reversal of 2011111000001 is 1000001111102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011111000001 - 2³⁴ = 1993931130817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011111000009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2348006 + ... + 3087936.

It is an arithmetic number, because the mean of its divisors is an integer number (254222136900).

Almost surely, 2^{2011111000001} is an apocalyptic number.

It is an amenable number.

2011111000001 is a deficient number, since it is larger than the sum of its proper divisors (22666095199).

2011111000001 is an equidigital number, since it uses as much as digits as its factorization.

2011111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770559.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2011111000001 its reverse (1000001111102), we get a palindrome (3011112111103).

The spelling of 2011111000001 in words is "two trillion, eleven billion, one hundred eleven million, one", and thus it is an aban number.