100351120520 has 128 divisors (see below), whose sum is σ = 269364787200. Its totient is φ = 32921856000.

The previous prime is 100351120487. The next prime is 100351120523. The reversal of 100351120520 is 25021153001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100351120492 and 100351120501.

It is not an unprimeable number, because it can be changed into a prime (100351120523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707570 + ... + 837470.

It is an arithmetic number, because the mean of its divisors is an integer number (2104412400).

Almost surely, 2^100351120520 is an apocalyptic number.

100351120520 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 100351120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134682393600).

100351120520 is an abundant number, since it is smaller than the sum of its proper divisors (169013666680).

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

100351120520 is a wasteful number, since it uses less digits than its factorization.

100351120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130039 (or 130035 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 100351120520 its reverse (25021153001), we get a palindrome (125372273521).

The spelling of 100351120520 in words is "one hundred billion, three hundred fifty-one million, one hundred twenty thousand, five hundred twenty".