2011101122113 has 8 divisors (see below), whose sum is σ = 2011883756832. Its totient is φ = 2010318595296.

The previous prime is 2011101122099. The next prime is 2011101122117. The reversal of 2011101122113 is 3112211011102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011101122113 - 2⁵ = 2011101122081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011101122117) 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, 66255006 + ... + 66285352.

It is an arithmetic number, because the mean of its divisors is an integer number (251485469604).

Almost surely, 2^{2011101122113} is an apocalyptic number.

It is an amenable number.

2011101122113 is a deficient number, since it is larger than the sum of its proper divisors (782634719).

2011101122113 is a wasteful number, since it uses less digits than its factorization.

2011101122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53951.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2011101122113 its reverse (3112211011102), we get a palindrome (5123312133215).

The spelling of 2011101122113 in words is "two trillion, eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred thirteen".