10220202110401 has 2 divisors, whose sum is σ = 10220202110402. Its totient is φ = 10220202110400.

The previous prime is 10220202110347. The next prime is 10220202110407. The reversal of 10220202110401 is 10401120202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6518580028801 + 3701622081600 = 2553151^2 + 1923960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220202110401 - 2²⁵ = 10220168555969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220202110407) 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, 5110101055200 + 5110101055201.

It is an arithmetic number, because the mean of its divisors is an integer number (5110101055201).

Almost surely, 2^{10220202110401} is an apocalyptic number.

It is an amenable number.

10220202110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220202110401 is an equidigital number, since it uses as much as digits as its factorization.

10220202110401 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 16.

Adding to 10220202110401 its reverse (10401120202201), we get a palindrome (20621322312602).

The spelling of 10220202110401 in words is "ten trillion, two hundred twenty billion, two hundred two million, one hundred ten thousand, four hundred one".