2011122102012 has 24 divisors (see below), whose sum is σ = 4692749967696. Its totient is φ = 670355215488.

The previous prime is 2011122101953. The next prime is 2011122102019. The reversal of 2011122102012 is 2102012211102.

It is a super-2 number, since 2×2011122102012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122101982 and 2011122102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1903603 + ... + 2765130.

It is an arithmetic number, because the mean of its divisors is an integer number (195531248654).

Almost surely, 2^{2011122102012} is an apocalyptic number.

It is an amenable number.

2011122102012 is an abundant number, since it is smaller than the sum of its proper divisors (2681627865684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011122102012 is a wasteful number, since it uses less digits than its factorization.

2011122102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704637 (or 4704635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2011122102012 its reverse (2102012211102), we get a palindrome (4113134313114).

The spelling of 2011122102012 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred two thousand, twelve".