2011122010112 has 384 divisors, whose sum is σ = 4517420544000. Its totient is φ = 891256504320.

The previous prime is 2011122010091. The next prime is 2011122010123. The reversal of 2011122010112 is 2110102211102.

It is a super-2 number, since 2×2011122010112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5306390339 + ... + 5306390717.

It is an arithmetic number, because the mean of its divisors is an integer number (11764116000).

Almost surely, 2^{2011122010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011122010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272000).

2011122010112 is an abundant number, since it is smaller than the sum of its proper divisors (2506298533888).

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

2011122010112 is a wasteful number, since it uses less digits than its factorization.

2011122010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011122010112 its reverse (2110102211102), we get a palindrome (4121224221214).

The spelling of 2011122010112 in words is "two trillion, eleven billion, one hundred twenty-two million, ten thousand, one hundred twelve".