2011110112101 has 32 divisors (see below), whose sum is σ = 2747695104000. Its totient is φ = 1307721699648.

The previous prime is 2011110112057. The next prime is 2011110112171. The reversal of 2011110112101 is 1012110111102.

It is not a de Polignac number, because 2011110112101 - 2⁷ = 2011110111973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011110112171) 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 31 ways as a sum of consecutive naturals, for example, 380961580 + ... + 380966858.

It is an arithmetic number, because the mean of its divisors is an integer number (85865472000).

Almost surely, 2^{2011110112101} is an apocalyptic number.

It is an amenable number.

2011110112101 is a deficient number, since it is larger than the sum of its proper divisors (736584991899).

2011110112101 is a wasteful number, since it uses less digits than its factorization.

2011110112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011110112101 its reverse (1012110111102), we get a palindrome (3023220223203).

Subtracting from 2011110112101 its reverse (1012110111102), we obtain a palindrome (999000000999).

The spelling of 2011110112101 in words is "two trillion, eleven billion, one hundred ten million, one hundred twelve thousand, one hundred one".