10012222112121 has 12 divisors (see below), whose sum is σ = 14960791662180. Its totient is φ = 6444648715680.

The previous prime is 10012222112083. The next prime is 10012222112177. The reversal of 10012222112121 is 12121122221001.

It can be written as a sum of positive squares in 2 ways, for example, as 5638435462521 + 4373786649600 = 2374539^2 + 2091360^2 .

It is not a de Polignac number, because 10012222112121 - 2¹⁰ = 10012222111097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012222112094 and 10012222112103.

It is not an unprimeable number, because it can be changed into a prime (10012222182121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19180501870 + ... + 19180502391.

It is an arithmetic number, because the mean of its divisors is an integer number (1246732638515).

Almost surely, 2^{10012222112121} is an apocalyptic number.

It is an amenable number.

10012222112121 is a deficient number, since it is larger than the sum of its proper divisors (4948569550059).

10012222112121 is a wasteful number, since it uses less digits than its factorization.

10012222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38361004296 (or 38361004293 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10012222112121 its reverse (12121122221001), we get a palindrome (22133344333122).

The spelling of 10012222112121 in words is "ten trillion, twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".