2011132121 has 16 divisors (see below), whose sum is σ = 2211133440. Its totient is φ = 1820705040.

The previous prime is 2011132111. The next prime is 2011132129. The reversal of 2011132121 is 1212311102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011132121 is a prime.

It is a super-3 number, since 3×2011132121³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011132096 and 2011132105.

It is not an unprimeable number, because it can be changed into a prime (2011132129) 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, 751616 + ... + 754286.

It is an arithmetic number, because the mean of its divisors is an integer number (138195840).

Almost surely, 2^2011132121 is an apocalyptic number.

It is an amenable number.

2011132121 is a deficient number, since it is larger than the sum of its proper divisors (200001319).

2011132121 is a wasteful number, since it uses less digits than its factorization.

2011132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2011132121 is about 44845.6477375453. The cubic root of 2011132121 is about 1262.2543251139.

Adding to 2011132121 its reverse (1212311102), we get a palindrome (3223443223).

The spelling of 2011132121 in words is "two billion, eleven million, one hundred thirty-two thousand, one hundred twenty-one".