2011121120112 has 80 divisors (see below), whose sum is σ = 5678550299520. Its totient is φ = 609570567936.

The previous prime is 2011121120087. The next prime is 2011121120131. The reversal of 2011121120112 is 2110211211102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011121120091 and 2011121120100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24010062 + ... + 24093677.

It is an arithmetic number, because the mean of its divisors is an integer number (70981878744).

Almost surely, 2^{2011121120112} is an apocalyptic number.

It is an amenable number.

2011121120112 is an abundant number, since it is smaller than the sum of its proper divisors (3667429179408).

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

2011121120112 is a wasteful number, since it uses less digits than its factorization.

2011121120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48103830 (or 48103824 counting only the distinct ones).

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

Adding to 2011121120112 its reverse (2110211211102), we get a palindrome (4121332331214).

The spelling of 2011121120112 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twelve".