10001211221200 has 30 divisors (see below), whose sum is σ = 24027909959894. Its totient is φ = 4000484488320.

The previous prime is 10001211221101. The next prime is 10001211221207. The reversal of 10001211221200 is 212211210001.

It can be written as a sum of positive squares in 3 ways, for example, as 480431969424 + 9520779251776 = 693132^2 + 3085576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001211221207) 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 5 ways as a sum of consecutive naturals, for example, 12501513627 + ... + 12501514426.

Almost surely, 2^{10001211221200} is an apocalyptic number.

10001211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211221200 is an abundant number, since it is smaller than the sum of its proper divisors (14026698738694).

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

10001211221200 is a wasteful number, since it uses less digits than its factorization.

10001211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003028071 (or 25003028060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001211221200 its reverse (212211210001), we get a palindrome (10213422431201).

The spelling of 10001211221200 in words is "ten trillion, one billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".