10221222002121 has 24 divisors (see below), whose sum is σ = 15903840495816. Its totient is φ = 6288336334080.

The previous prime is 10221222002083. The next prime is 10221222002129. The reversal of 10221222002121 is 12120022212201.

It is a happy number.

10221222002121 is a `hidden beast` number, since 10 + 221 + 2 + 220 + 0 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2681864769600 + 7539357232521 = 1637640^2 + 2745789^2 .

It is not a de Polignac number, because 10221222002121 - 2⁷ = 10221222001993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221222002094 and 10221222002103.

It is not an unprimeable number, because it can be changed into a prime (10221222002129) 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 23 ways as a sum of consecutive naturals, for example, 10984620 + ... + 11878733.

It is an arithmetic number, because the mean of its divisors is an integer number (662660020659).

Almost surely, 2^{10221222002121} is an apocalyptic number.

It is an amenable number.

10221222002121 is a deficient number, since it is larger than the sum of its proper divisors (5682618493695).

10221222002121 is a wasteful number, since it uses less digits than its factorization.

10221222002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22867193 (or 22867190 counting only the distinct ones).

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

Adding to 10221222002121 its reverse (12120022212201), we get a palindrome (22341244214322).

The spelling of 10221222002121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, two thousand, one hundred twenty-one".