2001000101 has 2 divisors, whose sum is σ = 2001000102. Its totient is φ = 2001000100.

The previous prime is 2001000097. The next prime is 2001000139. The reversal of 2001000101 is 1010001002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1967011201 + 33988900 = 44351^2 + 5830^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001000101 - 2² = 2001000097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001000151) 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, 1000500050 + 1000500051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500051).

Almost surely, 2^2001000101 is an apocalyptic number.

It is an amenable number.

2001000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001000101 is an equidigital number, since it uses as much as digits as its factorization.

2001000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2001000101 is about 44732.5396216222. The cubic root of 2001000101 is about 1260.1310229500.

Adding to 2001000101 its reverse (1010001002), we get a palindrome (3011001103).

Subtracting from 2001000101 its reverse (1010001002), we obtain a palindrome (990999099).

The spelling of 2001000101 in words is "two billion, one million, one hundred one", and thus it is an aban number.