10020020400001 has 2 divisors, whose sum is σ = 10020020400002. Its totient is φ = 10020020400000.

The previous prime is 10020020399993. The next prime is 10020020400029. The reversal of 10020020400001 is 10000402002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6265629759376 + 3754390640625 = 2503124^2 + 1937625^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020020400001 - 2³ = 10020020399993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020020409001) 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, 5010010200000 + 5010010200001.

It is an arithmetic number, because the mean of its divisors is an integer number (5010010200001).

Almost surely, 2^{10020020400001} is an apocalyptic number.

It is an amenable number.

10020020400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020020400001 is an equidigital number, since it uses as much as digits as its factorization.

10020020400001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020020400001 its reverse (10000402002001), we get a palindrome (20020422402002).

The spelling of 10020020400001 in words is "ten trillion, twenty billion, twenty million, four hundred thousand, one".