2112331011 has 64 divisors (see below), whose sum is σ = 3415965696. Its totient is φ = 1136016000.

The previous prime is 2112331009. The next prime is 2112331027. The reversal of 2112331011 is 1101332112.

It is a happy number.

It is not a de Polignac number, because 2112331011 - 2¹ = 2112331009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012961 + ... + 3013661.

It is an arithmetic number, because the mean of its divisors is an integer number (53374464).

Almost surely, 2^2112331011 is an apocalyptic number.

2112331011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112331011 is a deficient number, since it is larger than the sum of its proper divisors (1303634685).

2112331011 is a wasteful number, since it uses less digits than its factorization.

2112331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2112331011 is about 45960.1023823925. The cubic root of 2112331011 is about 1283.0807568521.

Adding to 2112331011 its reverse (1101332112), we get a palindrome (3213663123).

The spelling of 2112331011 in words is "two billion, one hundred twelve million, three hundred thirty-one thousand, eleven".