100201221011200 has 108 divisors (see below), whose sum is σ = 248044339411848. Its totient is φ = 40075533414400.

The previous prime is 100201221011197. The next prime is 100201221011201. The reversal of 100201221011200 is 2110122102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201221011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51023490 + ... + 52950910.

It is an arithmetic number, because the mean of its divisors is an integer number (2296706846406).

Almost surely, 2^{100201221011200} is an apocalyptic number.

100201221011200 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 100201221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124022169705924).

100201221011200 is an abundant number, since it is smaller than the sum of its proper divisors (147843118400648).

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

100201221011200 is an equidigital number, since it uses as much as digits as its factorization.

100201221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935570 (or 1935551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201221011200 its reverse (2110122102001), we get a palindrome (102311343113201).

The spelling of 100201221011200 in words is "one hundred trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, two hundred".