2011011001112 has 32 divisors (see below), whose sum is σ = 3774167654400. Its totient is φ = 1004566542624.

The previous prime is 2011011001067. The next prime is 2011011001117. The reversal of 2011011001112 is 2111001101102.

It is a junction number, because it is equal to n+sod(n) for n = 2011011001093 and 2011011001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99925883 + ... + 99946005.

It is an arithmetic number, because the mean of its divisors is an integer number (117942739200).

Almost surely, 2^{2011011001112} is an apocalyptic number.

It is an amenable number.

2011011001112 is a deficient number, since it is larger than the sum of its proper divisors (1763156653288).

2011011001112 is a wasteful number, since it uses less digits than its factorization.

2011011001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31175 (or 31171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011011001112 its reverse (2111001101102), we get a palindrome (4122012102214).

The spelling of 2011011001112 in words is "two trillion, eleven billion, eleven million, one thousand, one hundred twelve".