10001221012200 has 576 divisors, whose sum is σ = 35154534340800. Its totient is φ = 2332317081600.

The previous prime is 10001221012127. The next prime is 10001221012201. The reversal of 10001221012200 is 221012210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001221012201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804144382 + ... + 804156818.

It is an arithmetic number, because the mean of its divisors is an integer number (61032177675).

Almost surely, 2^{10001221012200} is an apocalyptic number.

10001221012200 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 10001221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577267170400).

10001221012200 is an abundant number, since it is smaller than the sum of its proper divisors (25153313328600).

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

10001221012200 is a wasteful number, since it uses less digits than its factorization.

10001221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001221012200 its reverse (221012210001), we get a palindrome (10222233222201).

The spelling of 10001221012200 in words is "ten trillion, one billion, two hundred twenty-one million, twelve thousand, two hundred".