1002000101 has 2 divisors, whose sum is σ = 1002000102. Its totient is φ = 1002000100.

The previous prime is 1002000089. The next prime is 1002000137. The reversal of 1002000101 is 1010002001.

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., 973377601 + 28622500 = 31199^2 + 5350^2 .

It is an emirp because it is prime and its reverse (1010002001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002000101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000050 + 501000051.

It is an arithmetic number, because the mean of its divisors is an integer number (501000051).

Almost surely, 2^1002000101 is an apocalyptic number.

It is an amenable number.

1002000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000101 is an equidigital number, since it uses as much as digits as its factorization.

1002000101 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 1002000101 is about 31654.3851780444. The cubic root of 1002000101 is about 1000.6662563372. Note that the first 3 decimals are identical.

Adding to 1002000101 its reverse (1010002001), we get a palindrome (2012002102).

The spelling of 1002000101 in words is "one billion, two million, one hundred one", and thus it is an aban number.