212100120010020 has 48 divisors (see below), whose sum is σ = 647869457487168. Its totient is φ = 51418210911360.

The previous prime is 212100120009977. The next prime is 212100120010043. The reversal of 212100120010020 is 20010021001212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212100120009978 and 212100120010005.

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 15 ways as a sum of consecutive naturals, for example, 160681908439 + ... + 160681909758.

It is an arithmetic number, because the mean of its divisors is an integer number (13497280364316).

Almost surely, 2^{212100120010020} is an apocalyptic number.

212100120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100120010020 is an abundant number, since it is smaller than the sum of its proper divisors (435769337477148).

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

212100120010020 is a wasteful number, since it uses less digits than its factorization.

212100120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321363818220 (or 321363818218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100120010020 its reverse (20010021001212), we get a palindrome (232110141011232).

The spelling of 212100120010020 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty million, ten thousand, twenty".