2122112000221 has 8 divisors (see below), whose sum is σ = 2124263346264. Its totient is φ = 2119960941120.

The previous prime is 2122112000219. The next prime is 2122112000231. The reversal of 2122112000221 is 1220002112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 221477536996 + 1900634463225 = 470614^2 + 1378635^2 .

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 2122112000221 - 2¹ = 2122112000219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122112000195 and 2122112000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112000231) 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, 16697311 + ... + 16823923.

It is an arithmetic number, because the mean of its divisors is an integer number (265532918283).

Almost surely, 2^{2122112000221} is an apocalyptic number.

It is an amenable number.

2122112000221 is a deficient number, since it is larger than the sum of its proper divisors (2151346043).

2122112000221 is a wasteful number, since it uses less digits than its factorization.

2122112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143471.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122112000221 its reverse (1220002112212), we get a palindrome (3342114112433).

The spelling of 2122112000221 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.