100201300320 has 576 divisors, whose sum is σ = 359713654272. Its totient is φ = 23439539200.

The previous prime is 100201300237. The next prime is 100201300327. The reversal of 100201300320 is 23003102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100201300296 and 100201300305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201300327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1411285885 + ... + 1411285955.

It is an arithmetic number, because the mean of its divisors is an integer number (624502872).

Almost surely, 2^100201300320 is an apocalyptic number.

100201300320 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 100201300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179856827136).

100201300320 is an abundant number, since it is smaller than the sum of its proper divisors (259512353952).

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

100201300320 is an equidigital number, since it uses as much as digits as its factorization.

100201300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100201300320 its reverse (23003102001), we get a palindrome (123204402321).

The spelling of 100201300320 in words is "one hundred billion, two hundred one million, three hundred thousand, three hundred twenty".