101100331200 has 336 divisors, whose sum is σ = 364720656384. Its totient is φ = 24314572800.

The previous prime is 101100331181. The next prime is 101100331249. The reversal of 101100331200 is 2133001101.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6698062 + ... + 6713138.

It is an arithmetic number, because the mean of its divisors is an integer number (1085478144).

Almost surely, 2^101100331200 is an apocalyptic number.

101100331200 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 101100331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182360328192).

101100331200 is an abundant number, since it is smaller than the sum of its proper divisors (263620325184).

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

101100331200 is a wasteful number, since it uses less digits than its factorization.

101100331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15225 counting only the distinct ones).

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

Adding to 101100331200 its reverse (2133001101), we get a palindrome (103233332301).

The spelling of 101100331200 in words is "one hundred one billion, one hundred million, three hundred thirty-one thousand, two hundred".