100021120 has 64 divisors (see below), whose sum is σ = 241140240. Its totient is φ = 39669760.

The previous prime is 100021093. The next prime is 100021121. The reversal of 100021120 is 21120001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83244 + ... + 84436.

Almost surely, 2^100021120 is an apocalyptic number.

100021120 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 100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120570120).

100021120 is an abundant number, since it is smaller than the sum of its proper divisors (141119120).

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

100021120 is a wasteful number, since it uses less digits than its factorization.

100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100021120 is about 10001.0559442491. The cubic root of 100021120 is about 464.1915578465.

Adding to 100021120 its reverse (21120001), we get a palindrome (121141121).

The spelling of 100021120 in words is "one hundred million, twenty-one thousand, one hundred twenty".