1000020001 has 2 divisors, whose sum is σ = 1000020002. Its totient is φ = 1000020000.

The previous prime is 1000019981. The next prime is 1000020011. The reversal of 1000020001 is 1000200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900000000 + 100020001 = 30000^2 + 10001^2 .

It is an emirp because it is prime and its reverse (1000200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000020001 - 2⁷ = 1000019873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000020011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500010000 + 500010001.

It is an arithmetic number, because the mean of its divisors is an integer number (500010001).

Almost surely, 2^1000020001 is an apocalyptic number.

It is an amenable number.

1000020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000020001 is an equidigital number, since it uses as much as digits as its factorization.

1000020001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1000020001 is about 31623.0928436799. The cubic root of 1000020001 is about 1000.0066669556.

Adding to 1000020001 its reverse (1000200001), we get a palindrome (2000220002).

It can be divided in two parts, 10000 and 20001, that multiplied together give a triangular number (200010000 = T₂₀₀₀₀).

The spelling of 1000020001 in words is "one billion, twenty thousand, one".