10221222112101 has 192 divisors, whose sum is σ = 20370908253696. Its totient is φ = 4765966387200.

The previous prime is 10221222112081. The next prime is 10221222112103. The reversal of 10221222112101 is 10121122212201.

10221222112101 is a `hidden beast` number, since 1 + 0 + 221 + 22 + 211 + 210 + 1 = 666.

It is not a de Polignac number, because 10221222112101 - 2⁹ = 10221222111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221222112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 620324475 + ... + 620340951.

It is an arithmetic number, because the mean of its divisors is an integer number (106098480488).

Almost surely, 2^{10221222112101} is an apocalyptic number.

10221222112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221222112101 is a deficient number, since it is larger than the sum of its proper divisors (10149686141595).

10221222112101 is a wasteful number, since it uses less digits than its factorization.

10221222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18409 counting only the distinct ones).

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

Adding to 10221222112101 its reverse (10121122212201), we get a palindrome (20342344324302).

The spelling of 10221222112101 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".