10201220220041 has 2 divisors, whose sum is σ = 10201220220042. Its totient is φ = 10201220220040.

The previous prime is 10201220219963. The next prime is 10201220220043. The reversal of 10201220220041 is 14002202210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10154292096400 + 46928123641 = 3186580^2 + 216629^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201220220041 - 2³⁴ = 10184040350857 is a prime.

Together with 10201220220043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10201220220043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100610110020 + 5100610110021.

It is an arithmetic number, because the mean of its divisors is an integer number (5100610110021).

Almost surely, 2^{10201220220041} is an apocalyptic number.

It is an amenable number.

10201220220041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201220220041 is an equidigital number, since it uses as much as digits as its factorization.

10201220220041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10201220220041 its reverse (14002202210201), we get a palindrome (24203422430242).

The spelling of 10201220220041 in words is "ten trillion, two hundred one billion, two hundred twenty million, two hundred twenty thousand, forty-one".