2010002020001 has 2 divisors, whose sum is σ = 2010002020002. Its totient is φ = 2010002020000.

The previous prime is 2010002019959. The next prime is 2010002020043. The reversal of 2010002020001 is 1000202000102.

It is a balanced prime because it is at equal distance from previous prime (2010002019959) and next prime (2010002020043).

It can be written as a sum of positive squares in only one way, i.e., 1966162035601 + 43839984400 = 1402199^2 + 209380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010002020001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010002220001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005001010000 + 1005001010001.

It is an arithmetic number, because the mean of its divisors is an integer number (1005001010001).

Almost surely, 2^{2010002020001} is an apocalyptic number.

It is an amenable number.

2010002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010002020001 is an equidigital number, since it uses as much as digits as its factorization.

2010002020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2010002020001 its reverse (1000202000102), we get a palindrome (3010204020103).

The spelling of 2010002020001 in words is "two trillion, ten billion, two million, twenty thousand, one".