2011122110112 has 48 divisors (see below), whose sum is σ = 5508725785920. Its totient is φ = 641227338752.

The previous prime is 2011122110111. The next prime is 2011122110159. The reversal of 2011122110112 is 2110112211102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2011122110112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122110091 and 2011122110100.

It is not an unprimeable number, because it can be changed into a prime (2011122110111) 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, 455414937 + ... + 455419352.

It is an arithmetic number, because the mean of its divisors is an integer number (114765120540).

Almost surely, 2^{2011122110112} is an apocalyptic number.

It is an amenable number.

2011122110112 is an abundant number, since it is smaller than the sum of its proper divisors (3497603675808).

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

2011122110112 is a wasteful number, since it uses less digits than its factorization.

2011122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910834325 (or 910834317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011122110112 its reverse (2110112211102), we get a palindrome (4121234321214).

The spelling of 2011122110112 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".