212424100100 has 144 divisors (see below), whose sum is σ = 491094349200. Its totient is φ = 79478784000.

The previous prime is 212424100087. The next prime is 212424100111. The reversal of 212424100100 is 1001424212.

It can be written as a sum of positive squares in 24 ways, for example, as 37564641856 + 174859458244 = 193816^2 + 418162^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 303029750 + ... + 303030450.

It is an arithmetic number, because the mean of its divisors is an integer number (3410377425).

Almost surely, 2^212424100100 is an apocalyptic number.

212424100100 is a gapful number since it is divisible by the number (20) 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 212424100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245547174600).

212424100100 is an abundant number, since it is smaller than the sum of its proper divisors (278670249100).

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

212424100100 is a wasteful number, since it uses less digits than its factorization.

212424100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212424100100 its reverse (1001424212), we get a palindrome (213425524312).

The spelling of 212424100100 in words is "two hundred twelve billion, four hundred twenty-four million, one hundred thousand, one hundred".