100110020112 has 60 divisors (see below), whose sum is σ = 285455244204. Its totient is φ = 32740381440.

The previous prime is 100110020089. The next prime is 100110020149. The reversal of 100110020112 is 211020011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70630503696 + 29479516416 = 265764^2 + 171696^2 .

It is a super-2 number, since 2×100110020112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110020094 and 100110020103.

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 11 ways as a sum of consecutive naturals, for example, 6550939 + ... + 6566202.

Almost surely, 2^100110020112 is an apocalyptic number.

100110020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110020112 is an abundant number, since it is smaller than the sum of its proper divisors (185345224092).

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

100110020112 is a wasteful number, since it uses less digits than its factorization.

100110020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117208 (or 13117199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110020112 its reverse (211020011001), we get a palindrome (311130031113).

The spelling of 100110020112 in words is "one hundred billion, one hundred ten million, twenty thousand, one hundred twelve".