212122111122101 has 8 divisors (see below), whose sum is σ = 214264326708408. Its totient is φ = 209980719000000.

The previous prime is 212122111122073. The next prime is 212122111122137. The reversal of 212122111122101 is 101221111221212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7557715756900 + 204564395365201 = 2749130^2 + 14302601^2 .

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 212122111122101 - 2²⁶ = 212122044013237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122111122191) 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, 205348250 + ... + 206378651.

It is an arithmetic number, because the mean of its divisors is an integer number (26783040838551).

Almost surely, 2^{212122111122101} is an apocalyptic number.

It is an amenable number.

212122111122101 is a deficient number, since it is larger than the sum of its proper divisors (2142215586307).

212122111122101 is a wasteful number, since it uses less digits than its factorization.

212122111122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411732103.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212122111122101 its reverse (101221111221212), we get a palindrome (313343222343313).

The spelling of 212122111122101 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".