212000212212101 has 8 divisors (see below), whose sum is σ = 218843134718208. Its totient is φ = 205157552580000.

The previous prime is 212000212212091. The next prime is 212000212212167. The reversal of 212000212212101 is 101212212000212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212000212212101 - 2²⁶ = 212000145103237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212000212212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000212292101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64078880 + ... + 67306041.

It is an arithmetic number, because the mean of its divisors is an integer number (27355391839776).

Almost surely, 2^{212000212212101} is an apocalyptic number.

It is an amenable number.

212000212212101 is a deficient number, since it is larger than the sum of its proper divisors (6842922506107).

212000212212101 is a wasteful number, since it uses less digits than its factorization.

212000212212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131437003.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212000212212101 its reverse (101212212000212), we get a palindrome (313212424212313).

The spelling of 212000212212101 in words is "two hundred twelve trillion, two hundred twelve million, two hundred twelve thousand, one hundred one".