100021213120 has 56 divisors (see below), whose sum is σ = 238489071408. Its totient is φ = 39955814400.

The previous prime is 100021213067. The next prime is 100021213129. The reversal of 100021213120 is 21312120001.

It is a self number, because there is not a number n which added to its sum of digits gives 100021213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021213129) 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 7 ways as a sum of consecutive naturals, for example, 38155 + ... + 448885.

It is an arithmetic number, because the mean of its divisors is an integer number (4258733418).

Almost surely, 2^100021213120 is an apocalyptic number.

100021213120 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 100021213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119244535704).

100021213120 is an abundant number, since it is smaller than the sum of its proper divisors (138467858288).

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

100021213120 is an equidigital number, since it uses as much as digits as its factorization.

100021213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411509 (or 411499 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100021213120 its reverse (21312120001), we get a palindrome (121333333121).

The spelling of 100021213120 in words is "one hundred billion, twenty-one million, two hundred thirteen thousand, one hundred twenty".