10012221211200 has 168 divisors, whose sum is σ = 35375231548608. Its totient is φ = 2464546744320.

The previous prime is 10012221211159. The next prime is 10012221211243. The reversal of 10012221211200 is 211212221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012221211200.

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 23 ways as a sum of consecutive naturals, for example, 80163732 + ... + 80288531.

It is an arithmetic number, because the mean of its divisors is an integer number (210566854456).

Almost surely, 2^{10012221211200} is an apocalyptic number.

10012221211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012221211200 is an abundant number, since it is smaller than the sum of its proper divisors (25363010337408).

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

10012221211200 is a wasteful number, since it uses less digits than its factorization.

10012221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160452301 (or 160452286 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012221211200 its reverse (211212221001), we get a palindrome (10223433432201).

The spelling of 10012221211200 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".