212000112220221 has 96 divisors (see below), whose sum is σ = 341712277452000. Its totient is φ = 125755303532544.

The previous prime is 212000112220213. The next prime is 212000112220241. The reversal of 212000112220221 is 122022211000212.

It is a happy number.

212000112220221 is a `hidden beast` number, since 21 + 200 + 0 + 1 + 1 + 2 + 220 + 221 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 126261494184996 + 85738618035225 = 11236614^2 + 9259515^2 .

It is not a de Polignac number, because 212000112220221 - 2³ = 212000112220213 is a prime.

It is a super-4 number, since 4×212000112220221⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212000112220194 and 212000112220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000112220241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7542058315 + ... + 7542086423.

It is an arithmetic number, because the mean of its divisors is an integer number (3559502890125).

Almost surely, 2^{212000112220221} is an apocalyptic number.

It is an amenable number.

212000112220221 is a deficient number, since it is larger than the sum of its proper divisors (129712165231779).

212000112220221 is a wasteful number, since it uses less digits than its factorization.

212000112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743 (or 31740 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212000112220221 its reverse (122022211000212), we get a palindrome (334022323220433).

The spelling of 212000112220221 in words is "two hundred twelve trillion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".