2011123121321 has 16 divisors (see below), whose sum is σ = 2129138732160. Its totient is φ = 1896363974400.

The previous prime is 2011123121303. The next prime is 2011123121333. The reversal of 2011123121321 is 1231213211102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011123121321 is a prime.

It is a super-2 number, since 2×2011123121321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011123121293 and 2011123121302.

It is not an unprimeable number, because it can be changed into a prime (2011123121351) 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 15 ways as a sum of consecutive naturals, for example, 9614396 + ... + 9821346.

It is an arithmetic number, because the mean of its divisors is an integer number (133071170760).

Almost surely, 2^{2011123121321} is an apocalyptic number.

It is an amenable number.

2011123121321 is a deficient number, since it is larger than the sum of its proper divisors (118015610839).

2011123121321 is a wasteful number, since it uses less digits than its factorization.

2011123121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214816.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2011123121321 its reverse (1231213211102), we get a palindrome (3242336332423).

The spelling of 2011123121321 in words is "two trillion, eleven billion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty-one".