2001020101 has 2 divisors, whose sum is σ = 2001020102. Its totient is φ = 2001020100.

The previous prime is 2001020089. The next prime is 2001020117. The reversal of 2001020101 is 1010201002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1663416225 + 337603876 = 40785^2 + 18374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001020101 - 2⁵ = 2001020069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001021101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000510050 + 1000510051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000510051).

Almost surely, 2^2001020101 is an apocalyptic number.

It is an amenable number.

2001020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001020101 is an equidigital number, since it uses as much as digits as its factorization.

2001020101 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.

The square root of 2001020101 is about 44732.7631719750. The cubic root of 2001020101 is about 1260.1352212734.

Adding to 2001020101 its reverse (1010201002), we get a palindrome (3011221103).

The spelling of 2001020101 in words is "two billion, one million, twenty thousand, one hundred one".