212120030100 has 216 divisors, whose sum is σ = 677427239104. Its totient is φ = 51207552000.

The previous prime is 212120030099. The next prime is 212120030117. The reversal of 212120030100 is 1030021212.

212120030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8736177 + ... + 8760423.

Almost surely, 2^212120030100 is an apocalyptic number.

212120030100 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 212120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338713619552).

212120030100 is an abundant number, since it is smaller than the sum of its proper divisors (465307209004).

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

212120030100 is a wasteful number, since it uses less digits than its factorization.

212120030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24527 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212120030100 its reverse (1030021212), we get a palindrome (213150051312).

The spelling of 212120030100 in words is "two hundred twelve billion, one hundred twenty million, thirty thousand, one hundred".