100210320320 has 112 divisors (see below), whose sum is σ = 260723713248. Its totient is φ = 36383477760.

The previous prime is 100210320319. The next prime is 100210320347. The reversal of 100210320320 is 23023012001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100210320295 and 100210320304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276762 + ... + 2320358.

Almost surely, 2^100210320320 is an apocalyptic number.

100210320320 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 100210320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130361856624).

100210320320 is an abundant number, since it is smaller than the sum of its proper divisors (160513392928).

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

100210320320 is a wasteful number, since it uses less digits than its factorization.

100210320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44278 (or 44268 counting only the distinct ones).

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

Adding to 100210320320 its reverse (23023012001), we get a palindrome (123233332321).

The spelling of 100210320320 in words is "one hundred billion, two hundred ten million, three hundred twenty thousand, three hundred twenty".