100021100032 has 80 divisors (see below), whose sum is σ = 228608975232. Its totient is φ = 42826291200.

The previous prime is 100021099993. The next prime is 100021100033. The reversal of 100021100032 is 230001120001.

It is a super-2 number, since 2×100021100032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100021099991 and 100021100018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4012407 + ... + 4037257.

Almost surely, 2^100021100032 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 100021100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114304487616).

100021100032 is an abundant number, since it is smaller than the sum of its proper divisors (128587875200).

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

100021100032 is an equidigital number, since it uses as much as digits as its factorization.

100021100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25999 (or 25983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100021100032 its reverse (230001120001), we get a palindrome (330022220033).

The spelling of 100021100032 in words is "one hundred billion, twenty-one million, one hundred thousand, thirty-two".