101412033200 has 60 divisors (see below), whose sum is σ = 243944353080. Its totient is φ = 40514542080.

The previous prime is 101412033197. The next prime is 101412033209. The reversal of 101412033200 is 2330214101.

It is not an unprimeable number, because it can be changed into a prime (101412033209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 166907 + ... + 480293.

It is an arithmetic number, because the mean of its divisors is an integer number (4065739218).

Almost surely, 2^101412033200 is an apocalyptic number.

101412033200 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 101412033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121972176540).

101412033200 is an abundant number, since it is smaller than the sum of its proper divisors (142532319880).

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

101412033200 is a wasteful number, since it uses less digits than its factorization.

101412033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314214 (or 314203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101412033200 its reverse (2330214101), we get a palindrome (103742247301).

The spelling of 101412033200 in words is "one hundred one billion, four hundred twelve million, thirty-three thousand, two hundred".