2011122100011 has 8 divisors (see below), whose sum is σ = 2682415410064. Its totient is φ = 1340288428320.

The previous prime is 2011122099991. The next prime is 2011122100019. The reversal of 2011122100011 is 1100012211102.

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

It is not a de Polignac number, because 2011122100011 - 2⁹ = 2011122099499 is a prime.

It is a super-2 number, since 2×2011122100011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2011122100011.

It is not an unprimeable number, because it can be changed into a prime (2011122100019) 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, 114899380 + ... + 114916881.

It is an arithmetic number, because the mean of its divisors is an integer number (335301926258).

Almost surely, 2^{2011122100011} is an apocalyptic number.

2011122100011 is a deficient number, since it is larger than the sum of its proper divisors (671293310053).

2011122100011 is a wasteful number, since it uses less digits than its factorization.

2011122100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229819181.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011122100011 its reverse (1100012211102), we get a palindrome (3111134311113).

The spelling of 2011122100011 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred thousand, eleven".