100320211200 has 432 divisors, whose sum is σ = 362339683776. Its totient is φ = 24241766400.

The previous prime is 100320211177. The next prime is 100320211231. The reversal of 100320211200 is 2112023001.

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

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, 91449052 + ... + 91450148.

It is an arithmetic number, because the mean of its divisors is an integer number (838749268).

Almost surely, 2^100320211200 is an apocalyptic number.

100320211200 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 100320211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181169841888).

100320211200 is an abundant number, since it is smaller than the sum of its proper divisors (262019472576).

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

100320211200 is a wasteful number, since it uses less digits than its factorization.

100320211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100320211200 its reverse (2112023001), we get a palindrome (102432234201).

The spelling of 100320211200 in words is "one hundred billion, three hundred twenty million, two hundred eleven thousand, two hundred".