2011120122111 has 16 divisors (see below), whose sum is σ = 2717205934464. Its totient is φ = 1322931068384.

The previous prime is 2011120122073. The next prime is 2011120122149. The reversal of 2011120122111 is 1112210211102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011120122073) and next prime (2011120122149).

It is a cyclic number.

It is not a de Polignac number, because 2011120122111 - 2¹¹ = 2011120120063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120122161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4868541 + ... + 5265446.

It is an arithmetic number, because the mean of its divisors is an integer number (169825370904).

Almost surely, 2^{2011120122111} is an apocalyptic number.

2011120122111 is a deficient number, since it is larger than the sum of its proper divisors (706085812353).

2011120122111 is a wasteful number, since it uses less digits than its factorization.

2011120122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134870.

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

Adding to 2011120122111 its reverse (1112210211102), we get a palindrome (3123330333213).

The spelling of 2011120122111 in words is "two trillion, eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred eleven".