10000221012121 has 2 divisors, whose sum is σ = 10000221012122. Its totient is φ = 10000221012120.

The previous prime is 10000221012107. The next prime is 10000221012139. The reversal of 10000221012121 is 12121012200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9930029928025 + 70191084096 = 3151195^2 + 264936^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000221012121 - 2³¹ = 9998073528473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000221012101) 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 as a sum of consecutive naturals, namely, 5000110506060 + 5000110506061.

It is an arithmetic number, because the mean of its divisors is an integer number (5000110506061).

Almost surely, 2^{10000221012121} is an apocalyptic number.

It is an amenable number.

10000221012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000221012121 is an equidigital number, since it uses as much as digits as its factorization.

10000221012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10000221012121 its reverse (12121012200001), we get a palindrome (22121233212122).

The spelling of 10000221012121 in words is "ten trillion, two hundred twenty-one million, twelve thousand, one hundred twenty-one".