212123120100 has 72 divisors (see below), whose sum is σ = 630330572928. Its totient is φ = 55037347200.

The previous prime is 212123120087. The next prime is 212123120107. The reversal of 212123120100 is 1021321212.

212123120100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212123120100.

It is not an unprimeable number, because it can be changed into a prime (212123120107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9543996 + ... + 9566195.

Almost surely, 2^212123120100 is an apocalyptic number.

212123120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123120100 is an abundant number, since it is smaller than the sum of its proper divisors (418207452828).

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

212123120100 is a wasteful number, since it uses less digits than its factorization.

212123120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110245 (or 19110238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212123120100 its reverse (1021321212), we get a palindrome (213144441312).

The spelling of 212123120100 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred twenty thousand, one hundred".