11002132121 has 2 divisors, whose sum is σ = 11002132122. Its totient is φ = 11002132120.

The previous prime is 11002132111. The next prime is 11002132123. The reversal of 11002132121 is 12123120011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9562688521 + 1439443600 = 97789^2 + 37940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11002132121 is a prime.

It is a super-3 number, since 3×11002132121³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 11002132123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002132096 and 11002132105.

It is not a weakly prime, because it can be changed into another prime (11002132123) 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 as a sum of consecutive naturals, namely, 5501066060 + 5501066061.

It is an arithmetic number, because the mean of its divisors is an integer number (5501066061).

Almost surely, 2^11002132121 is an apocalyptic number.

It is an amenable number.

11002132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002132121 is an equidigital number, since it uses as much as digits as its factorization.

11002132121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11002132121 its reverse (12123120011), we get a palindrome (23125252132).

The spelling of 11002132121 in words is "eleven billion, two million, one hundred thirty-two thousand, one hundred twenty-one".