11121201011009 has 2 divisors, whose sum is σ = 11121201011010. Its totient is φ = 11121201011008.

The previous prime is 11121201010973. The next prime is 11121201011087. The reversal of 11121201011009 is 90011010212111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6882605334784 + 4238595676225 = 2623472^2 + 2058785^2 .

It is an emirp because it is prime and its reverse (90011010212111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11121201011009 - 2²⁴ = 11121184233793 is a prime.

It is a super-2 number, since 2×11121201011009² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11121201010009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560600505504 + 5560600505505.

It is an arithmetic number, because the mean of its divisors is an integer number (5560600505505).

Almost surely, 2^{11121201011009} is an apocalyptic number.

It is an amenable number.

11121201011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121201011009 is an equidigital number, since it uses as much as digits as its factorization.

11121201011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 11121201011009 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, nine".