100010100112 has 40 divisors (see below), whose sum is σ = 209586264440. Its totient is φ = 45956920320.

The previous prime is 100010100109. The next prime is 100010100121. The reversal of 100010100112 is 211001010001.

It can be written as a sum of positive squares in 4 ways, for example, as 39918441616 + 60091658496 = 199796^2 + 245136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100010100095 and 100010100104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002189 + ... + 1097452.

It is an arithmetic number, because the mean of its divisors is an integer number (5239656611).

Almost surely, 2^100010100112 is an apocalyptic number.

It is an amenable number.

100010100112 is an abundant number, since it is smaller than the sum of its proper divisors (109576164328).

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

100010100112 is a wasteful number, since it uses less digits than its factorization.

100010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099891 (or 2099885 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010100112 its reverse (211001010001), we get a palindrome (311011110113).

The spelling of 100010100112 in words is "one hundred billion, ten million, one hundred thousand, one hundred twelve".