1001010122201 has 2 divisors, whose sum is σ = 1001010122202. Its totient is φ = 1001010122200.

The previous prime is 1001010122197. The next prime is 1001010122213. The reversal of 1001010122201 is 1022210101001.

1001010122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 732633283600 + 268376838601 = 855940^2 + 518051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010122201 - 2² = 1001010122197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1001010122251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505061100 + 500505061101.

It is an arithmetic number, because the mean of its divisors is an integer number (500505061101).

Almost surely, 2^{1001010122201} is an apocalyptic number.

It is an amenable number.

1001010122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010122201 is an equidigital number, since it uses as much as digits as its factorization.

1001010122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001010122201 its reverse (1022210101001), we get a palindrome (2023220223202).

It can be divided in two parts, 1001010 and 122201, that added together give a palindrome (1123211).

The spelling of 1001010122201 in words is "one trillion, one billion, ten million, one hundred twenty-two thousand, two hundred one".