11221221100212 has 144 divisors (see below), whose sum is σ = 29675365246800. Its totient is φ = 3570603724800.

The previous prime is 11221221100207. The next prime is 11221221100247. The reversal of 11221221100212 is 21200112212211.

11221221100212 is a `hidden beast` number, since 1 + 1 + 221 + 221 + 10 + 0 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34042464036 + 11187178636176 = 184506^2 + 3344724^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74684748 + ... + 74834844.

It is an arithmetic number, because the mean of its divisors is an integer number (206078925325).

Almost surely, 2^{11221221100212} is an apocalyptic number.

11221221100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221221100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837682623400).

11221221100212 is an abundant number, since it is smaller than the sum of its proper divisors (18454144146588).

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

11221221100212 is a wasteful number, since it uses less digits than its factorization.

11221221100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150946 (or 150941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221221100212 its reverse (21200112212211), we get a palindrome (32421333312423).

The spelling of 11221221100212 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, two hundred twelve".