212100002212100 has 18 divisors (see below), whose sum is σ = 460257004800474. Its totient is φ = 84840000884800.

The previous prime is 212100002212079. The next prime is 212100002212157. The reversal of 212100002212100 is 1212200001212.

It can be written as a sum of positive squares in 3 ways, for example, as 58966703124484 + 153133299087616 = 7678978^2 + 12374704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060500010961 + ... + 1060500011160.

Almost surely, 2^{212100002212100} is an apocalyptic number.

212100002212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100002212100 is an abundant number, since it is smaller than the sum of its proper divisors (248157002588374).

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

212100002212100 is a wasteful number, since it uses less digits than its factorization.

212100002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121000022135 (or 2121000022128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100002212100 its reverse (1212200001212), we get a palindrome (213312202213312).

The spelling of 212100002212100 in words is "two hundred twelve trillion, one hundred billion, two million, two hundred twelve thousand, one hundred".