100110001002 has 128 divisors (see below), whose sum is σ = 226602593280. Its totient is φ = 29227100160.

The previous prime is 100110000967. The next prime is 100110001003. The reversal of 100110001002 is 200100011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100110001003) 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 63 ways as a sum of consecutive naturals, for example, 40414588 + ... + 40417064.

It is an arithmetic number, because the mean of its divisors is an integer number (1770332760).

Almost surely, 2^100110001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113301296640).

100110001002 is an abundant number, since it is smaller than the sum of its proper divisors (126492592278).

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

100110001002 is a wasteful number, since it uses less digits than its factorization.

100110001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100110001002 its reverse (200100011001), we get a palindrome (300210012003).

Subtracting 100110001002 from its reverse (200100011001), we obtain a palindrome (99990009999).

The spelling of 100110001002 in words is "one hundred billion, one hundred ten million, one thousand, two".