100101331200 has 864 divisors, whose sum is σ = 389357079552. Its totient is φ = 22413312000.

The previous prime is 100101331181. The next prime is 100101331201. The reversal of 100101331200 is 2133101001.

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

It is not an unprimeable number, because it can be changed into a prime (100101331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131538820 + ... + 131539580.

It is an arithmetic number, because the mean of its divisors is an integer number (450644768).

Almost surely, 2^100101331200 is an apocalyptic number.

100101331200 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 100101331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194678539776).

100101331200 is an abundant number, since it is smaller than the sum of its proper divisors (289255748352).

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

100101331200 is a wasteful number, since it uses less digits than its factorization.

100101331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100101331200 its reverse (2133101001), we get a palindrome (102234432201).

The spelling of 100101331200 in words is "one hundred billion, one hundred one million, three hundred thirty-one thousand, two hundred".