100910010112 has 72 divisors (see below), whose sum is σ = 210298951296. Its totient is φ = 48234802176.

The previous prime is 100910010101. The next prime is 100910010137. The reversal of 100910010112 is 211010019001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14522223 + ... + 14529169.

It is an arithmetic number, because the mean of its divisors is an integer number (2920818768).

Almost surely, 2^100910010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100910010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105149475648).

100910010112 is an abundant number, since it is smaller than the sum of its proper divisors (109388941184).

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

100910010112 is an equidigital number, since it uses as much as digits as its factorization.

100910010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100910010112 its reverse (211010019001), we get a palindrome (311920029113).

The spelling of 100910010112 in words is "one hundred billion, nine hundred ten million, ten thousand, one hundred twelve".