100022130304 has 128 divisors (see below), whose sum is σ = 211842086400. Its totient is φ = 46962499584.

The previous prime is 100022130289. The next prime is 100022130317. The reversal of 100022130304 is 403031220001.

It is a happy number.

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29133772 + ... + 29137204.

It is an arithmetic number, because the mean of its divisors is an integer number (1655016300).

Almost surely, 2^100022130304 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 100022130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105921043200).

100022130304 is an abundant number, since it is smaller than the sum of its proper divisors (111819956096).

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

100022130304 is a wasteful number, since it uses less digits than its factorization.

100022130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100022130304 its reverse (403031220001), we get a palindrome (503053350305).

The spelling of 100022130304 in words is "one hundred billion, twenty-two million, one hundred thirty thousand, three hundred four".