100212004224 has 64 divisors (see below), whose sum is σ = 295764606000. Its totient is φ = 33404000256.

The previous prime is 100212004223. The next prime is 100212004229. The reversal of 100212004224 is 422400212001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100212004197 and 100212004206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212004223) 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 7 ways as a sum of consecutive naturals, for example, 14494809 + ... + 14501720.

Almost surely, 2^100212004224 is an apocalyptic number.

It is an amenable number.

100212004224 is an abundant number, since it is smaller than the sum of its proper divisors (195552601776).

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

100212004224 is an equidigital number, since it uses as much as digits as its factorization.

100212004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28996552 (or 28996534 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100212004224 its reverse (422400212001), we get a palindrome (522612216225).

The spelling of 100212004224 in words is "one hundred billion, two hundred twelve million, four thousand, two hundred twenty-four".