100330045200 has 480 divisors, whose sum is σ = 445220075520. Its totient is φ = 20847628800.

The previous prime is 100330045183. The next prime is 100330045237. The reversal of 100330045200 is 2540033001.

It is a super-2 number, since 2×100330045200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 771277 + ... + 891923.

It is an arithmetic number, because the mean of its divisors is an integer number (927541824).

Almost surely, 2^100330045200 is an apocalyptic number.

100330045200 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 100330045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222610037760).

100330045200 is an abundant number, since it is smaller than the sum of its proper divisors (344890030320).

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

100330045200 is a wasteful number, since it uses less digits than its factorization.

100330045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120692 (or 120675 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 100330045200 its reverse (2540033001), we get a palindrome (102870078201).

The spelling of 100330045200 in words is "one hundred billion, three hundred thirty million, forty-five thousand, two hundred".