212100010002121 has 12 divisors (see below), whose sum is σ = 219689989591644. Its totient is φ = 204763854982400.

The previous prime is 212100010002119. The next prime is 212100010002187. The reversal of 212100010002121 is 121200010001212.

It can be written as a sum of positive squares in 6 ways, for example, as 7674068984521 + 204425941017600 = 2770211^2 + 14297760^2 .

It is not a de Polignac number, because 212100010002121 - 2¹ = 212100010002119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100010002191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6060460 + ... + 21469261.

It is an arithmetic number, because the mean of its divisors is an integer number (18307499132637).

Almost surely, 2^{212100010002121} is an apocalyptic number.

It is an amenable number.

212100010002121 is a deficient number, since it is larger than the sum of its proper divisors (7589979589523).

212100010002121 is an equidigital number, since it uses as much as digits as its factorization.

212100010002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27538940 (or 27538911 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212100010002121 its reverse (121200010001212), we get a palindrome (333300020003333).

Subtracting from 212100010002121 its reverse (121200010001212), we obtain a palindrome (90900000000909).

The spelling of 212100010002121 in words is "two hundred twelve trillion, one hundred billion, ten million, two thousand, one hundred twenty-one".