20102010201001 has 2 divisors, whose sum is σ = 20102010201002. Its totient is φ = 20102010201000.

The previous prime is 20102010200989. The next prime is 20102010201017. The reversal of 20102010201001 is 10010201020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14105883408400 + 5996126792601 = 3755780^2 + 2448699^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102010201001 - 2⁷ = 20102010200873 is a prime.

It is a super-2 number, since 2×20102010201001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20102010201601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051005100500 + 10051005100501.

It is an arithmetic number, because the mean of its divisors is an integer number (10051005100501).

Almost surely, 2^{20102010201001} is an apocalyptic number.

It is an amenable number.

20102010201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102010201001 is an equidigital number, since it uses as much as digits as its factorization.

20102010201001 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 10.

Adding to 20102010201001 its reverse (10010201020102), we get a palindrome (30112211221103).

The spelling of 20102010201001 in words is "twenty trillion, one hundred two billion, ten million, two hundred one thousand, one".