100220110320 has 320 divisors, whose sum is σ = 350282009088. Its totient is φ = 23493120000.

The previous prime is 100220110313. The next prime is 100220110339. The reversal of 100220110320 is 23011022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100220110296 and 100220110305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11461150 + ... + 11469890.

Almost surely, 2^100220110320 is an apocalyptic number.

100220110320 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 100220110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175141004544).

100220110320 is an abundant number, since it is smaller than the sum of its proper divisors (250061898768).

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

100220110320 is a wasteful number, since it uses less digits than its factorization.

100220110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100220110320 its reverse (23011022001), we get a palindrome (123231132321).

The spelling of 100220110320 in words is "one hundred billion, two hundred twenty million, one hundred ten thousand, three hundred twenty".