100220330203200 has 504 divisors, whose sum is σ = 370003047331008. Its totient is φ = 26681760184320.

The previous prime is 100220330203187. The next prime is 100220330203229. The reversal of 100220330203200 is 2302033022001.

It is a happy number.

100220330203200 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 0 + 330 + 2 + 0 + 320 + 0 = 666.

It is a super-3 number, since 3×100220330203200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238124149 + ... + 238544651.

Almost surely, 2^{100220330203200} is an apocalyptic number.

100220330203200 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 100220330203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185001523665504).

100220330203200 is an abundant number, since it is smaller than the sum of its proper divisors (269782717127808).

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

100220330203200 is an equidigital number, since it uses as much as digits as its factorization.

100220330203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421153 (or 421126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100220330203200 its reverse (2302033022001), we get a palindrome (102522363225201).

The spelling of 100220330203200 in words is "one hundred trillion, two hundred twenty billion, three hundred thirty million, two hundred three thousand, two hundred".