100010301300 has 864 divisors, whose sum is σ = 412886073600. Its totient is φ = 19647774720.

The previous prime is 100010301247. The next prime is 100010301341. The reversal of 100010301300 is 3103010001.

It is a super-2 number, since 2×100010301300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 151760371 + ... + 151761029.

It is an arithmetic number, because the mean of its divisors is an integer number (477877400).

Almost surely, 2^100010301300 is an apocalyptic number.

100010301300 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 100010301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206443036800).

100010301300 is an abundant number, since it is smaller than the sum of its proper divisors (312875772300).

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

100010301300 is a wasteful number, since it uses less digits than its factorization.

100010301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

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

Adding to 100010301300 its reverse (3103010001), we get a palindrome (103113311301).

The spelling of 100010301300 in words is "one hundred billion, ten million, three hundred one thousand, three hundred".