100012103016 has 64 divisors (see below), whose sum is σ = 287245025280. Its totient is φ = 28425270720.

The previous prime is 100012102997. The next prime is 100012103017. The reversal of 100012103016 is 610301210001.

It is a junction number, because it is equal to n+sod(n) for n = 100012102986 and 100012103004.

It is not an unprimeable number, because it can be changed into a prime (100012103017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526316 + ... + 1590491.

It is an arithmetic number, because the mean of its divisors is an integer number (4488203520).

Almost surely, 2^100012103016 is an apocalyptic number.

It is an amenable number.

100012103016 is an abundant number, since it is smaller than the sum of its proper divisors (187232922264).

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

100012103016 is a wasteful number, since it uses less digits than its factorization.

100012103016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117014 (or 3117010 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100012103016 its reverse (610301210001), we get a palindrome (710313313017).

The spelling of 100012103016 in words is "one hundred billion, twelve million, one hundred three thousand, sixteen".