100132022130 has 128 divisors (see below), whose sum is σ = 284208168960. Its totient is φ = 22094277120.

The previous prime is 100132022093. The next prime is 100132022147. The reversal of 100132022130 is 31220231001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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, 2643787 + ... + 2681393.

It is an arithmetic number, because the mean of its divisors is an integer number (2220376320).

Almost surely, 2^100132022130 is an apocalyptic number.

100132022130 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 100132022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142104084480).

100132022130 is an abundant number, since it is smaller than the sum of its proper divisors (184076146830).

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

100132022130 is a wasteful number, since it uses less digits than its factorization.

100132022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38064.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100132022130 its reverse (31220231001), we get a palindrome (131352253131).

The spelling of 100132022130 in words is "one hundred billion, one hundred thirty-two million, twenty-two thousand, one hundred thirty".