220301300200100 has 144 divisors (see below), whose sum is σ = 547685286898176. Its totient is φ = 75346915392000.

The previous prime is 220301300200099. The next prime is 220301300200103. The reversal of 220301300200100 is 1002003103022.

It is a happy number.

It is a super-3 number, since 3×220301300200100³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (220301300200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7182707765 + ... + 7182738435.

It is an arithmetic number, because the mean of its divisors is an integer number (3803370047904).

Almost surely, 2^{220301300200100} is an apocalyptic number.

220301300200100 is a gapful number since it is divisible by the number (20) 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 220301300200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273842643449088).

220301300200100 is an abundant number, since it is smaller than the sum of its proper divisors (327383986698076).

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

220301300200100 is a wasteful number, since it uses less digits than its factorization.

220301300200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55486 (or 55479 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 220301300200100 its reverse (1002003103022), we get a palindrome (221303303303122).

The spelling of 220301300200100 in words is "two hundred twenty trillion, three hundred one billion, three hundred million, two hundred thousand, one hundred".