100301220 has 96 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 26433792.

The previous prime is 100301147. The next prime is 100301221. The reversal of 100301220 is 22103001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100301221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47017 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2^100301220 is an apocalyptic number.

100301220 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 100301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

100301220 is an abundant number, since it is smaller than the sum of its proper divisors (215404380).

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

100301220 is a wasteful number, since it uses less digits than its factorization.

100301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

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

The square root of 100301220 is about 10015.0496753636. The cubic root of 100301220 is about 464.6244626639.

Adding to 100301220 its reverse (22103001), we get a palindrome (122404221).

The spelling of 100301220 in words is "one hundred million, three hundred one thousand, two hundred twenty".