10033100400 has 240 divisors, whose sum is σ = 33389291520. Its totient is φ = 2572569600.

The previous prime is 10033100377. The next prime is 10033100401. The reversal of 10033100400 is 400133001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033100401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6434821 + ... + 6436379.

It is an arithmetic number, because the mean of its divisors is an integer number (139122048).

Almost surely, 2^10033100400 is an apocalyptic number.

10033100400 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 10033100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694645760).

10033100400 is an abundant number, since it is smaller than the sum of its proper divisors (23356191120).

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

10033100400 is a wasteful number, since it uses less digits than its factorization.

10033100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1773 counting only the distinct ones).

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

Adding to 10033100400 its reverse (400133001), we get a palindrome (10433233401).

The spelling of 10033100400 in words is "ten billion, thirty-three million, one hundred thousand, four hundred".