100110220321320 has 768 divisors, whose sum is σ = 390179462400000. Its totient is φ = 21974230333440.

The previous prime is 100110220321273. The next prime is 100110220321337. The reversal of 100110220321320 is 23123022011001.

100110220321320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 0 + 2 + 20 + 321 + 320 = 666.

100110220321320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100110220321293 and 100110220321302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2178701706 + ... + 2178747654.

It is an arithmetic number, because the mean of its divisors is an integer number (508046175000).

Almost surely, 2^{100110220321320} is an apocalyptic number.

100110220321320 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 100110220321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195089731200000).

100110220321320 is an abundant number, since it is smaller than the sum of its proper divisors (290069242078680).

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

100110220321320 is a wasteful number, since it uses less digits than its factorization.

100110220321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47278 (or 47271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100110220321320 its reverse (23123022011001), we get a palindrome (123233242332321).

The spelling of 100110220321320 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, three hundred twenty-one thousand, three hundred twenty".