100100001001112 has 96 divisors (see below), whose sum is σ = 220853038903200. Its totient is φ = 42406351819776.

The previous prime is 100100001001111. The next prime is 100100001001139. The reversal of 100100001001112 is 211100100001001.

It is a happy number.

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 100100001001112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001001111) 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 23 ways as a sum of consecutive naturals, for example, 13493189 + ... + 19551627.

It is an arithmetic number, because the mean of its divisors is an integer number (2300552488575).

Almost surely, 2^{100100001001112} 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 100100001001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110426519451600).

100100001001112 is an abundant number, since it is smaller than the sum of its proper divisors (120753037902088).

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

100100001001112 is a wasteful number, since it uses less digits than its factorization.

100100001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058945 (or 6058934 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100001001112 its reverse (211100100001001), we get a palindrome (311200101002113).

The spelling of 100100001001112 in words is "one hundred trillion, one hundred billion, one million, one thousand, one hundred twelve".