20010010020001 has 2 divisors, whose sum is σ = 20010010020002. Its totient is φ = 20010010020000.

The previous prime is 20010010019953. The next prime is 20010010020023. The reversal of 20010010020001 is 10002001001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19926858530401 + 83151489600 = 4463951^2 + 288360^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010010020001 - 2³⁷ = 19872571066529 is a prime.

It is not a weakly prime, because it can be changed into another prime (20010010020101) 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, 10005005010000 + 10005005010001.

It is an arithmetic number, because the mean of its divisors is an integer number (10005005010001).

Almost surely, 2^{20010010020001} is an apocalyptic number.

It is an amenable number.

20010010020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010010020001 is an equidigital number, since it uses as much as digits as its factorization.

20010010020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20010010020001 its reverse (10002001001002), we get a palindrome (30012011021003).

The spelling of 20010010020001 in words is "twenty trillion, ten billion, ten million, twenty thousand, one".