100311204400 has 120 divisors (see below), whose sum is σ = 263122784064. Its totient is φ = 36446803200.

The previous prime is 100311204397. The next prime is 100311204403. The reversal of 100311204400 is 4402113001.

100311204400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100311204397) and next prime (100311204403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100311204403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5742079 + ... + 5759521.

Almost surely, 2^100311204400 is an apocalyptic number.

100311204400 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 100311204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131561392032).

100311204400 is an abundant number, since it is smaller than the sum of its proper divisors (162811579664).

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

100311204400 is a wasteful number, since it uses less digits than its factorization.

100311204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18779 (or 18768 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100311204400 its reverse (4402113001), we get a palindrome (104713317401).

The spelling of 100311204400 in words is "one hundred billion, three hundred eleven million, two hundred four thousand, four hundred".