100302132020 has 96 divisors (see below), whose sum is σ = 222765742080. Its totient is φ = 37830602880.

The previous prime is 100302132011. The next prime is 100302132059. The reversal of 100302132020 is 20231203001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100302131986 and 100302132004.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 134995769 + ... + 134996511.

It is an arithmetic number, because the mean of its divisors is an integer number (2320476480).

Almost surely, 2^100302132020 is an apocalyptic number.

100302132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100302132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111382871040).

100302132020 is an abundant number, since it is smaller than the sum of its proper divisors (122463610060).

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

100302132020 is a wasteful number, since it uses less digits than its factorization.

100302132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100302132020 its reverse (20231203001), we get a palindrome (120533335021).

The spelling of 100302132020 in words is "one hundred billion, three hundred two million, one hundred thirty-two thousand, twenty".