2102000001 has 16 divisors (see below), whose sum is σ = 2978826240. Its totient is φ = 1314686160.

The previous prime is 2101999993. The next prime is 2102000009. The reversal of 2102000001 is 1000002012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101999993) and next prime (2102000009).

It is not a de Polignac number, because 2102000001 - 2³ = 2101999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102000009) 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 in 15 ways as a sum of consecutive naturals, for example, 173145 + ... + 184886.

It is an arithmetic number, because the mean of its divisors is an integer number (186176640).

Almost surely, 2^2102000001 is an apocalyptic number.

It is an amenable number.

2102000001 is a deficient number, since it is larger than the sum of its proper divisors (876826239).

2102000001 is a wasteful number, since it uses less digits than its factorization.

2102000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358156.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2102000001 is about 45847.5735562963. The cubic root of 2102000001 is about 1280.9855692690.

Adding to 2102000001 its reverse (1000002012), we get a palindrome (3102002013).

The spelling of 2102000001 in words is "two billion, one hundred two million, one", and thus it is an aban number.