100221120 has 336 divisors, whose sum is σ = 385145280. Its totient is φ = 23789568.

The previous prime is 100221101. The next prime is 100221131. The reversal of 100221120 is 21122001.

100221120 = T₁₄₅₆ + T₁₄₅₇ + ... + T₁₅₄₄.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126036 + ... + 1126124.

Almost surely, 2^100221120 is an apocalyptic number.

100221120 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 100221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

100221120 is an abundant number, since it is smaller than the sum of its proper divisors (284924160).

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

100221120 is a wasteful number, since it uses less digits than its factorization.

100221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100221120 is about 10011.0498949910. The cubic root of 100221120 is about 464.5007475492.

Adding to 100221120 its reverse (21122001), we get a palindrome (121343121).

It can be divided in two parts, 1002 and 21120, that added together give a palindrome (22122).

The spelling of 100221120 in words is "one hundred million, two hundred twenty-one thousand, one hundred twenty".