10100103300 has 288 divisors, whose sum is σ = 37335110400. Its totient is φ = 2294507520.

The previous prime is 10100103287. The next prime is 10100103301. The reversal of 10100103300 is 330100101.

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 (10100103301) 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, 3268156 + ... + 3271244.

It is an arithmetic number, because the mean of its divisors is an integer number (129635800).

Almost surely, 2^10100103300 is an apocalyptic number.

10100103300 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 10100103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667555200).

10100103300 is an abundant number, since it is smaller than the sum of its proper divisors (27235007100).

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

10100103300 is a wasteful number, since it uses less digits than its factorization.

10100103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3279 counting only the distinct ones).

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

Adding to 10100103300 its reverse (330100101), we get a palindrome (10430203401).

The spelling of 10100103300 in words is "ten billion, one hundred million, one hundred three thousand, three hundred".