2020101001001 has 2 divisors, whose sum is σ = 2020101001002. Its totient is φ = 2020101001000.

The previous prime is 2020101000959. The next prime is 2020101001057. The reversal of 2020101001001 is 1001001010202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1652651658025 + 367449342976 = 1285555^2 + 606176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2020101001001 - 2¹⁴ = 2020100984617 is a prime.

It is a super-3 number, since 3×2020101001001³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2020101001001.

It is not a weakly prime, because it can be changed into another prime (2020101001601) 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, 1010050500500 + 1010050500501.

It is an arithmetic number, because the mean of its divisors is an integer number (1010050500501).

Almost surely, 2^{2020101001001} is an apocalyptic number.

It is an amenable number.

2020101001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2020101001001 is an equidigital number, since it uses as much as digits as its factorization.

2020101001001 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 8.

Adding to 2020101001001 its reverse (1001001010202), we get a palindrome (3021102011203).

The spelling of 2020101001001 in words is "two trillion, twenty billion, one hundred one million, one thousand, one".