11200221001001 has 2 divisors, whose sum is σ = 11200221001002. Its totient is φ = 11200221001000.

The previous prime is 11200221000959. The next prime is 11200221001019. The reversal of 11200221001001 is 10010012200211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7900040111401 + 3300180889600 = 2810701^2 + 1816640^2 .

It is an emirp because it is prime and its reverse (10010012200211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11200221001001 - 2³⁴ = 11183041131817 is a prime.

It is a super-3 number, since 3×11200221001001³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11200221051001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600110500500 + 5600110500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5600110500501).

Almost surely, 2^{11200221001001} is an apocalyptic number.

It is an amenable number.

11200221001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200221001001 is an equidigital number, since it uses as much as digits as its factorization.

11200221001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11200221001001 its reverse (10010012200211), we get a palindrome (21210233201212).

The spelling of 11200221001001 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one thousand, one".