100111100320 has 576 divisors, whose sum is σ = 319446167040. Its totient is φ = 29233612800.

The previous prime is 100111100279. The next prime is 100111100357. The reversal of 100111100320 is 23001111001.

It is a super-2 number, since 2×100111100320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100111100297 and 100111100306.

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 95 ways as a sum of consecutive naturals, for example, 175325635 + ... + 175326205.

It is an arithmetic number, because the mean of its divisors is an integer number (554594040).

Almost surely, 2^100111100320 is an apocalyptic number.

100111100320 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 100111100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159723083520).

100111100320 is an abundant number, since it is smaller than the sum of its proper divisors (219335066720).

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

100111100320 is a wasteful number, since it uses less digits than its factorization.

100111100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100111100320 its reverse (23001111001), we get a palindrome (123112211321).

The spelling of 100111100320 in words is "one hundred billion, one hundred eleven million, one hundred thousand, three hundred twenty".