2011124133121 has 2 divisors, whose sum is σ = 2011124133122. Its totient is φ = 2011124133120.

The previous prime is 2011124133119. The next prime is 2011124133157. The reversal of 2011124133121 is 1213314211102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1550931492496 + 460192640625 = 1245364^2 + 678375^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011124133121 - 2¹ = 2011124133119 is a prime.

Together with 2011124133119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2011124133092 and 2011124133101.

It is not a weakly prime, because it can be changed into another prime (2011124133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005562066560 + 1005562066561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005562066561).

Almost surely, 2^{2011124133121} is an apocalyptic number.

It is an amenable number.

2011124133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011124133121 is an equidigital number, since it uses as much as digits as its factorization.

2011124133121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 2011124133121 its reverse (1213314211102), we get a palindrome (3224438344223).

The spelling of 2011124133121 in words is "two trillion, eleven billion, one hundred twenty-four million, one hundred thirty-three thousand, one hundred twenty-one".