11121201122089 has 2 divisors, whose sum is σ = 11121201122090. Its totient is φ = 11121201122088.

The previous prime is 11121201122071. The next prime is 11121201122113. The reversal of 11121201122089 is 98022110212111.

It is a happy number.

11121201122089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6774255507600 + 4346945614489 = 2602740^2 + 2084933^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121201122089 - 2⁹ = 11121201121577 is a prime.

It is a super-2 number, since 2×11121201122089² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121201122089.

It is not a weakly prime, because it can be changed into another prime (11121201122029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560600561044 + 5560600561045.

It is an arithmetic number, because the mean of its divisors is an integer number (5560600561045).

Almost surely, 2^{11121201122089} is an apocalyptic number.

It is an amenable number.

11121201122089 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121201122089 is an equidigital number, since it uses as much as digits as its factorization.

11121201122089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 11121201122089 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, eighty-nine".