2000105001 has 32 divisors (see below), whose sum is σ = 3095838720. Its totient is φ = 1273825872.

The previous prime is 2000104999. The next prime is 2000105071. The reversal of 2000105001 is 1005010002.

It is a happy number.

It is not a de Polignac number, because 2000105001 - 2¹ = 2000104999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000105071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673546 + ... + 676508.

It is an arithmetic number, because the mean of its divisors is an integer number (96744960).

Almost surely, 2^2000105001 is an apocalyptic number.

It is an amenable number.

2000105001 is a deficient number, since it is larger than the sum of its proper divisors (1095733719).

2000105001 is a wasteful number, since it uses less digits than its factorization.

2000105001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2000105001 is about 44722.5334814565. The cubic root of 2000105001 is about 1259.9430983374.

Adding to 2000105001 its reverse (1005010002), we get a palindrome (3005115003).

The spelling of 2000105001 in words is "two billion, one hundred five thousand, one".