10220400401 has 2 divisors, whose sum is σ = 10220400402. Its totient is φ = 10220400400.

The previous prime is 10220400349. The next prime is 10220400439. The reversal of 10220400401 is 10400402201.

10220400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9423749776 + 796650625 = 97076^2 + 28225^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220400401 - 2²² = 10216206097 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 (10220406401) 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, 5110200200 + 5110200201.

It is an arithmetic number, because the mean of its divisors is an integer number (5110200201).

Almost surely, 2^10220400401 is an apocalyptic number.

It is an amenable number.

10220400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220400401 is an equidigital number, since it uses as much as digits as its factorization.

10220400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220400401 its reverse (10400402201), we get a palindrome (20620802602).

The spelling of 10220400401 in words is "ten billion, two hundred twenty million, four hundred thousand, four hundred one".