100012122012 has 96 divisors (see below), whose sum is σ = 260697830400. Its totient is φ = 29586585600.

The previous prime is 100012122011. The next prime is 100012122047. The reversal of 100012122012 is 210221210001.

It is a super-3 number, since 3×100012122012³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874212 + ... + 981972.

It is an arithmetic number, because the mean of its divisors is an integer number (2715602400).

Almost surely, 2^100012122012 is an apocalyptic number.

100012122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130348915200).

100012122012 is an abundant number, since it is smaller than the sum of its proper divisors (160685708388).

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

100012122012 is a wasteful number, since it uses less digits than its factorization.

100012122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107947 (or 107945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012122012 its reverse (210221210001), we get a palindrome (310233332013).

The spelling of 100012122012 in words is "one hundred billion, twelve million, one hundred twenty-two thousand, twelve".