100320130222200 has 960 divisors, whose sum is σ = 419400570336000. Its totient is φ = 21710985154560.

The previous prime is 100320130222199. The next prime is 100320130222229. The reversal of 100320130222200 is 2222031023001.

100320130222200 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 1 + 302 + 22 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4035553371 + ... + 4035578229.

It is an arithmetic number, because the mean of its divisors is an integer number (436875594100).

Almost surely, 2^{100320130222200} is an apocalyptic number.

100320130222200 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 100320130222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209700285168000).

100320130222200 is an abundant number, since it is smaller than the sum of its proper divisors (319080440113800).

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

100320130222200 is a wasteful number, since it uses less digits than its factorization.

100320130222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26786 (or 26768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100320130222200 its reverse (2222031023001), we get a palindrome (102542161245201).

The spelling of 100320130222200 in words is "one hundred trillion, three hundred twenty billion, one hundred thirty million, two hundred twenty-two thousand, two hundred".