11200303220801 has 2 divisors, whose sum is σ = 11200303220802. Its totient is φ = 11200303220800.

The previous prime is 11200303220797. The next prime is 11200303220803. The reversal of 11200303220801 is 10802230300211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7298512883776 + 3901790337025 = 2701576^2 + 1975295^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200303220801 - 2² = 11200303220797 is a prime.

It is a super-3 number, since 3×11200303220801³ (a number of 40 digits) contains 333 as substring.

Together with 11200303220803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11200303220803) 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, 5600151610400 + 5600151610401.

It is an arithmetic number, because the mean of its divisors is an integer number (5600151610401).

Almost surely, 2^{11200303220801} is an apocalyptic number.

It is an amenable number.

11200303220801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200303220801 is an equidigital number, since it uses as much as digits as its factorization.

11200303220801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 11200303220801 in words is "eleven trillion, two hundred billion, three hundred three million, two hundred twenty thousand, eight hundred one".