10000120221001 has 2 divisors, whose sum is σ = 10000120221002. Its totient is φ = 10000120221000.

The previous prime is 10000120220977. The next prime is 10000120221041. The reversal of 10000120221001 is 10012202100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8848834140601 + 1151286080400 = 2974699^2 + 1072980^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000120221001 - 2¹⁷ = 10000120089929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000120221041) 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, 5000060110500 + 5000060110501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000060110501).

Almost surely, 2^{10000120221001} is an apocalyptic number.

It is an amenable number.

10000120221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000120221001 is an equidigital number, since it uses as much as digits as its factorization.

10000120221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000120221001 its reverse (10012202100001), we get a palindrome (20012322321002).

The spelling of 10000120221001 in words is "ten trillion, one hundred twenty million, two hundred twenty-one thousand, one".