100002010112 has 44 divisors (see below), whose sum is σ = 201885841716. Its totient is φ = 49505894400.

The previous prime is 100002010103. The next prime is 100002010117. The reversal of 100002010112 is 211010200001.

It can be written as a sum of positive squares in 2 ways, for example, as 81878388736 + 18123621376 = 286144^2 + 134624^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100002010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002010117) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 380033 + ... + 586880.

Almost surely, 2^100002010112 is an apocalyptic number.

It is an amenable number.

100002010112 is an abundant number, since it is smaller than the sum of its proper divisors (101883831604).

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

100002010112 is an equidigital number, since it uses as much as digits as its factorization.

100002010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967034 (or 967016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100002010112 its reverse (211010200001), we get a palindrome (311012210113).

The spelling of 100002010112 in words is "one hundred billion, two million, ten thousand, one hundred twelve".