2011122011011 has 8 divisors (see below), whose sum is σ = 2106981945344. Its totient is φ = 1917198641160.

The previous prime is 2011122011009. The next prime is 2011122011057. The reversal of 2011122011011 is 1101102211102.

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 2011122011011 - 2¹ = 2011122011009 is a prime.

It is a super-2 number, since 2×2011122011011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011122010982 and 2011122011000.

It is not an unprimeable number, because it can be changed into a prime (2011122015011) 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 7 ways as a sum of consecutive naturals, for example, 484138995 + ... + 484143148.

It is an arithmetic number, because the mean of its divisors is an integer number (263372743168).

Almost surely, 2^{2011122011011} is an apocalyptic number.

2011122011011 is a deficient number, since it is larger than the sum of its proper divisors (95859934333).

2011122011011 is an equidigital number, since it uses as much as digits as its factorization.

2011122011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968282241.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011122011011 its reverse (1101102211102), we get a palindrome (3112224222113).

The spelling of 2011122011011 in words is "two trillion, eleven billion, one hundred twenty-two million, eleven thousand, eleven".