2011110111101 has 48 divisors (see below), whose sum is σ = 2505291878016. Its totient is φ = 1580687716608.

The previous prime is 2011110111097. The next prime is 2011110111137. The reversal of 2011110111101 is 1011110111102.

It is a happy number.

It is not a de Polignac number, because 2011110111101 - 2² = 2011110111097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011110111301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297366146 + ... + 297372908.

It is an arithmetic number, because the mean of its divisors is an integer number (52193580792).

Almost surely, 2^{2011110111101} is an apocalyptic number.

It is an amenable number.

2011110111101 is a deficient number, since it is larger than the sum of its proper divisors (494181766915).

2011110111101 is a wasteful number, since it uses less digits than its factorization.

2011110111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2011110111101 its reverse (1011110111102), we get a palindrome (3022220222203).

Subtracting from 2011110111101 its reverse (1011110111102), we obtain a palindrome (999999999999).

The spelling of 2011110111101 in words is "two trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred one".