2011100000111 has 8 divisors (see below), whose sum is σ = 2016480438144. Its totient is φ = 2005726686040.

The previous prime is 2011100000101. The next prime is 2011100000123. The reversal of 2011100000111 is 1110000011102.

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 2011100000111 - 2³⁰ = 2010026258287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100000101) 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, 1215395 + ... + 2345076.

It is an arithmetic number, because the mean of its divisors is an integer number (252060054768).

Almost surely, 2^{2011100000111} is an apocalyptic number.

2011100000111 is a deficient number, since it is larger than the sum of its proper divisors (5380438033).

2011100000111 is an equidigital number, since it uses as much as digits as its factorization.

2011100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561981.

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

Adding to 2011100000111 its reverse (1110000011102), we get a palindrome (3121100011213).

The spelling of 2011100000111 in words is "two trillion, eleven billion, one hundred million, one hundred eleven", and thus it is an aban number.