2101000001 has 8 divisors (see below), whose sum is σ = 2106695304. Its totient is φ = 2095313920.

The previous prime is 2100999947. The next prime is 2101000007. The reversal of 2101000001 is 1000001012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 116208400 + 1984791601 = 10780^2 + 44551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101000001 - 2⁶ = 2100999937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723785 + ... + 726681.

It is an arithmetic number, because the mean of its divisors is an integer number (263336913).

Almost surely, 2^2101000001 is an apocalyptic number.

It is an amenable number.

2101000001 is a deficient number, since it is larger than the sum of its proper divisors (5695303).

2101000001 is an equidigital number, since it uses as much as digits as its factorization.

2101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611.

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

The square root of 2101000001 is about 45836.6665563717. Note that the first 3 decimals coincide. The cubic root of 2101000001 is about 1280.7823994688.

Adding to 2101000001 its reverse (1000001012), we get a palindrome (3101001013).

The spelling of 2101000001 in words is "two billion, one hundred one million, one", and thus it is an aban number.