2011101122112 has 28 divisors (see below), whose sum is σ = 5321038386096. Its totient is φ = 670367040640.

The previous prime is 2011101122099. The next prime is 2011101122117. The reversal of 2011101122112 is 2112211011102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011101122091 and 2011101122100.

It is not an unprimeable number, because it can be changed into a prime (2011101122117) 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 3 ways as a sum of consecutive naturals, for example, 5237242314 + ... + 5237242697.

Almost surely, 2^{2011101122112} is an apocalyptic number.

It is an amenable number.

2011101122112 is an abundant number, since it is smaller than the sum of its proper divisors (3309937263984).

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

2011101122112 is a wasteful number, since it uses less digits than its factorization.

2011101122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474485026 (or 10474485016 counting only the distinct ones).

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

Adding to 2011101122112 its reverse (2112211011102), we get a palindrome (4123312133214).

The spelling of 2011101122112 in words is "two trillion, eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".