100301120 has 56 divisors (see below), whose sum is σ = 246571008. Its totient is φ = 38822400.

The previous prime is 100301119. The next prime is 100301147. The reversal of 100301120 is 21103001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100301098 and 100301107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4865 + ... + 14975.

Almost surely, 2^100301120 is an apocalyptic number.

100301120 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 100301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123285504).

100301120 is an abundant number, since it is smaller than the sum of its proper divisors (146269888).

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

100301120 is a wasteful number, since it uses less digits than its factorization.

100301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100301120 is about 10015.0446828759. The cubic root of 100301120 is about 464.6243082541.

Adding to 100301120 its reverse (21103001), we get a palindrome (121404121).

The spelling of 100301120 in words is "one hundred million, three hundred one thousand, one hundred twenty".