100300000220 has 144 divisors (see below), whose sum is σ = 258152297760. Its totient is φ = 32548594176.

The previous prime is 100300000219. The next prime is 100300000231. The reversal of 100300000220 is 22000003001.

It is a junction number, because it is equal to n+sod(n) for n = 100300000198 and 100300000207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29734454 + ... + 29737826.

It is an arithmetic number, because the mean of its divisors is an integer number (1792724290).

Almost surely, 2^100300000220 is an apocalyptic number.

100300000220 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 100300000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129076148880).

100300000220 is an abundant number, since it is smaller than the sum of its proper divisors (157852297540).

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

100300000220 is a wasteful number, since it uses less digits than its factorization.

100300000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 100300000220 its reverse (22000003001), we get a palindrome (122300003221).

The spelling of 100300000220 in words is "one hundred billion, three hundred million, two hundred twenty", and thus it is an aban number.