100412224033200 has 60 divisors (see below), whose sum is σ = 321653824323528. Its totient is φ = 26776593075200.

The previous prime is 100412224033171. The next prime is 100412224033217. The reversal of 100412224033200 is 2330422214001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×100412224033200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41838425481 + ... + 41838427880.

Almost surely, 2^{100412224033200} is an apocalyptic number.

100412224033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412224033200 is an abundant number, since it is smaller than the sum of its proper divisors (221241600290328).

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

100412224033200 is a wasteful number, since it uses less digits than its factorization.

100412224033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83676853382 (or 83676853371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100412224033200 its reverse (2330422214001), we get a palindrome (102742646247201).

The spelling of 100412224033200 in words is "one hundred trillion, four hundred twelve billion, two hundred twenty-four million, thirty-three thousand, two hundred".