100032011300 has 288 divisors, whose sum is σ = 255921120000. Its totient is φ = 33603655680.

The previous prime is 100032011291. The next prime is 100032011327. The reversal of 100032011300 is 3110230001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257151506 + ... + 257151894.

It is an arithmetic number, because the mean of its divisors is an integer number (888615000).

Almost surely, 2^100032011300 is an apocalyptic number.

100032011300 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 100032011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560000).

100032011300 is an abundant number, since it is smaller than the sum of its proper divisors (155889108700).

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

100032011300 is a wasteful number, since it uses less digits than its factorization.

100032011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100032011300 its reverse (3110230001), we get a palindrome (103142241301).

The spelling of 100032011300 in words is "one hundred billion, thirty-two million, eleven thousand, three hundred".