100020132030 has 256 divisors, whose sum is σ = 306177822720. Its totient is φ = 20339085312.

The previous prime is 100020132019. The next prime is 100020132031. The reversal of 100020132030 is 30231020001.

It is a happy number.

It is a super-2 number, since 2×100020132030² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020131997 and 100020132015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020132031) 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 127 ways as a sum of consecutive naturals, for example, 81781999 + ... + 81783221.

It is an arithmetic number, because the mean of its divisors is an integer number (1196007120).

Almost surely, 2^100020132030 is an apocalyptic number.

100020132030 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 100020132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153088911360).

100020132030 is an abundant number, since it is smaller than the sum of its proper divisors (206157690690).

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

100020132030 is a wasteful number, since it uses less digits than its factorization.

100020132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100020132030 its reverse (30231020001), we get a palindrome (130251152031).

The spelling of 100020132030 in words is "one hundred billion, twenty million, one hundred thirty-two thousand, thirty".