10001221100200 has 48 divisors (see below), whose sum is σ = 25366733523360. Its totient is φ = 3636807672000.

The previous prime is 10001221100113. The next prime is 10001221100203. The reversal of 10001221100200 is 200112210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10001221100203) 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, 2273002596 + ... + 2273006995.

It is an arithmetic number, because the mean of its divisors is an integer number (528473615070).

Almost surely, 2^{10001221100200} is an apocalyptic number.

10001221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221100200 is an abundant number, since it is smaller than the sum of its proper divisors (15365512423160).

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

10001221100200 is a wasteful number, since it uses less digits than its factorization.

10001221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546009618 (or 4546009609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001221100200 its reverse (200112210001), we get a palindrome (10201333310201).

It can be divided in two parts, 100012 and 21100200, that added together give a palindrome (21200212).

The spelling of 10001221100200 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred thousand, two hundred".