100330312220 has 96 divisors (see below), whose sum is σ = 219080621760. Its totient is φ = 38563983360.

The previous prime is 100330312217. The next prime is 100330312261. The reversal of 100330312220 is 22213033001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27180575 + ... + 27184265.

It is an arithmetic number, because the mean of its divisors is an integer number (2282089810).

Almost surely, 2^100330312220 is an apocalyptic number.

100330312220 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 100330312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109540310880).

100330312220 is an abundant number, since it is smaller than the sum of its proper divisors (118750309540).

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

100330312220 is a wasteful number, since it uses less digits than its factorization.

100330312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100330312220 its reverse (22213033001), we get a palindrome (122543345221).

The spelling of 100330312220 in words is "one hundred billion, three hundred thirty million, three hundred twelve thousand, two hundred twenty".