212100022012100 has 18 divisors (see below), whose sum is σ = 460257047766474. Its totient is φ = 84840008804800.

The previous prime is 212100022012027. The next prime is 212100022012117. The reversal of 212100022012100 is 1210220001212.

It can be written as a sum of positive squares in 3 ways, for example, as 5757197141056 + 206342824871044 = 2399416^2 + 14364638^2 .

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 5 ways as a sum of consecutive naturals, for example, 1060500109961 + ... + 1060500110160.

Almost surely, 2^{212100022012100} is an apocalyptic number.

212100022012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100022012100 is an abundant number, since it is smaller than the sum of its proper divisors (248157025754374).

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

212100022012100 is a wasteful number, since it uses less digits than its factorization.

212100022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121000220135 (or 2121000220128 counting only the distinct ones).

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

Adding to 212100022012100 its reverse (1210220001212), we get a palindrome (213310242013312).

The spelling of 212100022012100 in words is "two hundred twelve trillion, one hundred billion, twenty-two million, twelve thousand, one hundred".