100213030400 has 480 divisors, whose sum is σ = 296488642560. Its totient is φ = 32845824000.

The previous prime is 100213030381. The next prime is 100213030451. The reversal of 100213030400 is 4030312001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 302758235 + ... + 302758565.

It is an arithmetic number, because the mean of its divisors is an integer number (617684672).

Almost surely, 2^100213030400 is an apocalyptic number.

100213030400 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 100213030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148244321280).

100213030400 is an abundant number, since it is smaller than the sum of its proper divisors (196275612160).

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

100213030400 is a wasteful number, since it uses less digits than its factorization.

100213030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100213030400 its reverse (4030312001), we get a palindrome (104243342401).

The spelling of 100213030400 in words is "one hundred billion, two hundred thirteen million, thirty thousand, four hundred".