211222111000121 has 8 divisors (see below), whose sum is σ = 233018013636744. Its totient is φ = 190218786641280.

The previous prime is 211222111000111. The next prime is 211222111000123. The reversal of 211222111000121 is 121000111222112.

It can be written as a sum of positive squares in 4 ways, for example, as 6959017620025 + 204263093380096 = 2637995^2 + 14292064^2 .

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 211222111000121 - 2³⁴ = 211204931130937 is a prime.

It is a super-2 number, since 2×211222111000121² (a number of 29 digits) contains 22 as substring.

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 211222111000121.

It is not an unprimeable number, because it can be changed into a prime (211222111000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198144568886 + ... + 198144569951.

It is an arithmetic number, because the mean of its divisors is an integer number (29127251704593).

Almost surely, 2^{211222111000121} is an apocalyptic number.

It is an amenable number.

211222111000121 is a deficient number, since it is larger than the sum of its proper divisors (21795902636623).

211222111000121 is a wasteful number, since it uses less digits than its factorization.

211222111000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396289138891.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211222111000121 its reverse (121000111222112), we get a palindrome (332222222222233).

The spelling of 211222111000121 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.