100022333130 has 96 divisors (see below), whose sum is σ = 271689921360. Its totient is φ = 25497830400.

The previous prime is 100022333129. The next prime is 100022333179. The reversal of 100022333130 is 31333220001.

It can be written as a sum of positive squares in 8 ways, for example, as 36074544489 + 63947788641 = 189933^2 + 252879^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73894 + ... + 453326.

Almost surely, 2^100022333130 is an apocalyptic number.

100022333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135844960680).

100022333130 is an abundant number, since it is smaller than the sum of its proper divisors (171667588230).

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

100022333130 is a wasteful number, since it uses less digits than its factorization.

100022333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379576 (or 379573 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100022333130 its reverse (31333220001), we get a palindrome (131355553131).

The spelling of 100022333130 in words is "one hundred billion, twenty-two million, three hundred thirty-three thousand, one hundred thirty".