10220211221200 has 60 divisors (see below), whose sum is σ = 24583748771520. Its totient is φ = 4083141086080.

The previous prime is 10220211221183. The next prime is 10220211221201. The reversal of 10220211221200 is 212211202201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15116920 + ... + 15778519.

It is an arithmetic number, because the mean of its divisors is an integer number (409729146192).

Almost surely, 2^{10220211221200} is an apocalyptic number.

10220211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220211221200 is an abundant number, since it is smaller than the sum of its proper divisors (14363537550320).

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

10220211221200 is a wasteful number, since it uses less digits than its factorization.

10220211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30896284 (or 30896273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220211221200 its reverse (212211202201), we get a palindrome (10432422423401).

The spelling of 10220211221200 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".