100202220221200 has 120 divisors (see below), whose sum is σ = 243830323195592. Its totient is φ = 39567758376960.

The previous prime is 100202220221189. The next prime is 100202220221203. The reversal of 100202220221200 is 2122022202001.

It can be written as a sum of positive squares in 12 ways, for example, as 39950843966224 + 60251376254976 = 6320668^2 + 7762176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100202220221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12151042 + ... + 18656158.

Almost surely, 2^{100202220221200} is an apocalyptic number.

100202220221200 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 100202220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121915161597796).

100202220221200 is an abundant number, since it is smaller than the sum of its proper divisors (143628102974392).

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

100202220221200 is a wasteful number, since it uses less digits than its factorization.

100202220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505629 (or 6505618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100202220221200 its reverse (2122022202001), we get a palindrome (102324242423201).

The spelling of 100202220221200 in words is "one hundred trillion, two hundred two billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".