221112220000121 has 8 divisors (see below), whose sum is σ = 229232954550600. Its totient is φ = 213024563799040.

The previous prime is 221112220000117. The next prime is 221112220000141. The reversal of 221112220000121 is 121000022211122.

It can be written as a sum of positive squares in 4 ways, for example, as 820725471721 + 220291494528400 = 905939^2 + 14842220^2 .

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

It is not a de Polignac number, because 221112220000121 - 2² = 221112220000117 is a prime.

It is a super-3 number, since 3×221112220000121³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 221112220000121.

It is not an unprimeable number, because it can be changed into a prime (221112220000141) 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, 8269573736 + ... + 8269600473.

It is an arithmetic number, because the mean of its divisors is an integer number (28654119318825).

Almost surely, 2^{221112220000121} is an apocalyptic number.

It is an amenable number.

221112220000121 is a deficient number, since it is larger than the sum of its proper divisors (8120734550479).

221112220000121 is a wasteful number, since it uses less digits than its factorization.

221112220000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539174699.

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

Adding to 221112220000121 its reverse (121000022211122), we get a palindrome (342112242211243).

The spelling of 221112220000121 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twenty million, one hundred twenty-one", and thus it is an aban number.