10201221120200 has 192 divisors, whose sum is σ = 27473651305920. Its totient is φ = 3481432064000.

The previous prime is 10201221120191. The next prime is 10201221120287. The reversal of 10201221120200 is 202112210201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12815855 + ... + 13588545.

It is an arithmetic number, because the mean of its divisors is an integer number (143091933885).

Almost surely, 2^{10201221120200} is an apocalyptic number.

10201221120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201221120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736825652960).

10201221120200 is an abundant number, since it is smaller than the sum of its proper divisors (17272430185720).

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

10201221120200 is a wasteful number, since it uses less digits than its factorization.

10201221120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773088 (or 773079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201221120200 its reverse (202112210201), we get a palindrome (10403333330401).

It can be divided in two parts, 102012 and 21120200, that added together give a palindrome (21222212).

The spelling of 10201221120200 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".