1000010122201 has 2 divisors, whose sum is σ = 1000010122202. Its totient is φ = 1000010122200.

The previous prime is 1000010122193. The next prime is 1000010122207. The reversal of 1000010122201 is 1022210100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 884495106576 + 115515015625 = 940476^2 + 339875^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010122201 - 2³ = 1000010122193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000010122207) 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 as a sum of consecutive naturals, namely, 500005061100 + 500005061101.

It is an arithmetic number, because the mean of its divisors is an integer number (500005061101).

Almost surely, 2^{1000010122201} is an apocalyptic number.

It is an amenable number.

1000010122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010122201 is an equidigital number, since it uses as much as digits as its factorization.

1000010122201 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 1000010122201 its reverse (1022210100001), we get a palindrome (2022220222202).

It can be divided in two parts, 1000010 and 122201, that added together give a palindrome (1122211).

The spelling of 1000010122201 in words is "one trillion, ten million, one hundred twenty-two thousand, two hundred one".