11010221211200 has 84 divisors (see below), whose sum is σ = 27360263846292. Its totient is φ = 4360483584000.

The previous prime is 11010221211167. The next prime is 11010221211203. The reversal of 11010221211200 is 211212201011.

It can be written as a sum of positive squares in 6 ways, for example, as 66510346816 + 10943710864384 = 257896^2 + 3308128^2 .

It is a super-2 number, since 2×11010221211200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11010221211203) 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 11 ways as a sum of consecutive naturals, for example, 33904679 + ... + 34227878.

Almost surely, 2^{11010221211200} is an apocalyptic number.

11010221211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010221211200 is an abundant number, since it is smaller than the sum of its proper divisors (16350042635092).

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

11010221211200 is a wasteful number, since it uses less digits than its factorization.

11010221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68132680 (or 68132665 counting only the distinct ones).

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

Adding to 11010221211200 its reverse (211212201011), we get a palindrome (11221433412211).

The spelling of 11010221211200 in words is "eleven trillion, ten billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".