10220221012200 has 96 divisors (see below), whose sum is σ = 31686105173760. Its totient is φ = 2725098073600.

The previous prime is 10220221012193. The next prime is 10220221012201. The reversal of 10220221012200 is 221012202201.

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 10220221012200.

It is not an unprimeable number, because it can be changed into a prime (10220221012201) 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 23 ways as a sum of consecutive naturals, for example, 4671892 + ... + 6501308.

It is an arithmetic number, because the mean of its divisors is an integer number (330063595560).

Almost surely, 2^{10220221012200} is an apocalyptic number.

10220221012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221012200 is an abundant number, since it is smaller than the sum of its proper divisors (21465884161560).

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

10220221012200 is a wasteful number, since it uses less digits than its factorization.

10220221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838747 (or 1838738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220221012200 its reverse (221012202201), we get a palindrome (10441233214401).

The spelling of 10220221012200 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, twelve thousand, two hundred".