11001200200221 has 64 divisors (see below), whose sum is σ = 18312359510016. Its totient is φ = 5707211140800.

The previous prime is 11001200200183. The next prime is 11001200200261. The reversal of 11001200200221 is 12200200210011.

It is not a de Polignac number, because 11001200200221 - 2⁹ = 11001200199709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001200200197 and 11001200200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001200200261) 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 in 63 ways as a sum of consecutive naturals, for example, 618626896 + ... + 618644678.

It is an arithmetic number, because the mean of its divisors is an integer number (286130617344).

Almost surely, 2^{11001200200221} is an apocalyptic number.

11001200200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001200200221 is a deficient number, since it is larger than the sum of its proper divisors (7311159309795).

11001200200221 is a wasteful number, since it uses less digits than its factorization.

11001200200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001200200221 its reverse (12200200210011), we get a palindrome (23201400410232).

The spelling of 11001200200221 in words is "eleven trillion, one billion, two hundred million, two hundred thousand, two hundred twenty-one".