100120120020112 has 80 divisors (see below), whose sum is σ = 209444836391280. Its totient is φ = 46265259622400.

The previous prime is 100120120020097. The next prime is 100120120020113. The reversal of 100120120020112 is 211020021021001.

It can be written as a sum of positive squares in 8 ways, for example, as 174192708496 + 99945927311616 = 417364^2 + 9997296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100120120020092 and 100120120020101.

It is not an unprimeable number, because it can be changed into a prime (100120120020113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48641089 + ... + 50657632.

It is an arithmetic number, because the mean of its divisors is an integer number (2618060454891).

Almost surely, 2^{100120120020112} is an apocalyptic number.

It is an amenable number.

100120120020112 is an abundant number, since it is smaller than the sum of its proper divisors (109324716371168).

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

100120120020112 is a wasteful number, since it uses less digits than its factorization.

100120120020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99298852 (or 99298846 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120120020112 its reverse (211020021021001), we get a palindrome (311140141041113).

The spelling of 100120120020112 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty million, twenty thousand, one hundred twelve".