100001002112 has 128 divisors (see below), whose sum is σ = 227375527680. Its totient is φ = 43401625600.

The previous prime is 100001002099. The next prime is 100001002139. The reversal of 100001002112 is 211200100001.

It is a tau number, because it is divible by the number of its divisors (128).

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 100001002112.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2694788 + ... + 2731644.

It is an arithmetic number, because the mean of its divisors is an integer number (1776371310).

Almost surely, 2^100001002112 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 100001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113687763840).

100001002112 is an abundant number, since it is smaller than the sum of its proper divisors (127374525568).

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

100001002112 is a wasteful number, since it uses less digits than its factorization.

100001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36958 counting only the distinct ones).

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

Adding to 100001002112 its reverse (211200100001), we get a palindrome (311201102113).

The spelling of 100001002112 in words is "one hundred billion, one million, two thousand, one hundred twelve".