100302001920 has 504 divisors, whose sum is σ = 381466740816. Its totient is φ = 25169854464.

The previous prime is 100302001913. The next prime is 100302001939. The reversal of 100302001920 is 29100203001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100302001893 and 100302001902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15859879 + ... + 15866201.

It is an arithmetic number, because the mean of its divisors is an integer number (756878454).

Almost surely, 2^100302001920 is an apocalyptic number.

100302001920 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 100302001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190733370408).

100302001920 is an abundant number, since it is smaller than the sum of its proper divisors (281164738896).

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

100302001920 is an frugal number, since it uses more digits than its factorization.

100302001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100302001920 its reverse (29100203001), we get a palindrome (129402204921).

The spelling of 100302001920 in words is "one hundred billion, three hundred two million, one thousand, nine hundred twenty".