100021320 has 192 divisors, whose sum is σ = 391248000. Its totient is φ = 21648384.

The previous prime is 100021309. The next prime is 100021331. The reversal of 100021320 is 23120001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100021309) and next prime (100021331).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46836 + ... + 48924.

It is an arithmetic number, because the mean of its divisors is an integer number (2037750).

Almost surely, 2^100021320 is an apocalyptic number.

100021320 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 100021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195624000).

100021320 is an abundant number, since it is smaller than the sum of its proper divisors (291226680).

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

100021320 is a wasteful number, since it uses less digits than its factorization.

100021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100021320 is about 10001.0659431883. The cubic root of 100021320 is about 464.1918672420.

Adding to 100021320 its reverse (23120001), we get a palindrome (123141321).

The spelling of 100021320 in words is "one hundred million, twenty-one thousand, three hundred twenty".