10221211022121 has 36 divisors (see below), whose sum is σ = 16154103021264. Its totient is φ = 6176284732800.

The previous prime is 10221211021997. The next prime is 10221211022171. The reversal of 10221211022121 is 12122011212201.

10221211022121 is a `hidden beast` number, since 10 + 221 + 211 + 0 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 10221211022121 - 2²² = 10221206827817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221211022094 and 10221211022103.

It is not an unprimeable number, because it can be changed into a prime (10221211022171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10788786 + ... + 11697876.

It is an arithmetic number, because the mean of its divisors is an integer number (448725083924).

Almost surely, 2^{10221211022121} is an apocalyptic number.

10221211022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221211022121 is a deficient number, since it is larger than the sum of its proper divisors (5932891999143).

10221211022121 is an equidigital number, since it uses as much as digits as its factorization.

10221211022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909782 (or 909442 counting only the distinct ones).

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

Adding to 10221211022121 its reverse (12122011212201), we get a palindrome (22343222234322).

The spelling of 10221211022121 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twenty-two thousand, one hundred twenty-one".