212112012221101 has 8 divisors (see below), whose sum is σ = 219426754493880. Its totient is φ = 204797305612032.

The previous prime is 212112012221047. The next prime is 212112012221111. The reversal of 212112012221101 is 101122210211212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128448244917001 + 83663767304100 = 11333501^2 + 9146790^2 .

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 212112012221101 - 2¹³ = 212112012212909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112012221111) 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, 3476241 + ... + 20887993.

It is an arithmetic number, because the mean of its divisors is an integer number (27428344311735).

Almost surely, 2^{212112012221101} is an apocalyptic number.

It is an amenable number.

212112012221101 is a deficient number, since it is larger than the sum of its proper divisors (7314742272779).

212112012221101 is a wasteful number, since it uses less digits than its factorization.

212112012221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831855.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212112012221101 its reverse (101122210211212), we get a palindrome (313234222432313).

The spelling of 212112012221101 in words is "two hundred twelve trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred one".