100113122320 has 20 divisors (see below), whose sum is σ = 232763009580. Its totient is φ = 40045248896.

The previous prime is 100113122297. The next prime is 100113122359. The reversal of 100113122320 is 23221311001.

It can be written as a sum of positive squares in 2 ways, for example, as 63970549776 + 36142572544 = 252924^2 + 190112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100113122294 and 100113122303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625706935 + ... + 625707094.

It is an arithmetic number, because the mean of its divisors is an integer number (11638150479).

Almost surely, 2^100113122320 is an apocalyptic number.

100113122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113122320 is an abundant number, since it is smaller than the sum of its proper divisors (132649887260).

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

100113122320 is a wasteful number, since it uses less digits than its factorization.

100113122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251414042 (or 1251414036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100113122320 its reverse (23221311001), we get a palindrome (123334433321).

The spelling of 100113122320 in words is "one hundred billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".