11211221010200 has 48 divisors (see below), whose sum is σ = 26202560607360. Its totient is φ = 4461009392000.

The previous prime is 11211221010131. The next prime is 11211221010211. The reversal of 11211221010200 is 201012211211.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146705531 + ... + 146781930.

It is an arithmetic number, because the mean of its divisors is an integer number (545886679320).

Almost surely, 2^{11211221010200} is an apocalyptic number.

11211221010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211221010200 is an abundant number, since it is smaller than the sum of its proper divisors (14991339597160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211221010200 is a wasteful number, since it uses less digits than its factorization.

11211221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293487668 (or 293487659 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211221010200 its reverse (201012211211), we get a palindrome (11412233221411).

The spelling of 11211221010200 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-one million, ten thousand, two hundred".