2012010001 has 2 divisors, whose sum is σ = 2012010002. Its totient is φ = 2012010000.

The previous prime is 2012009983. The next prime is 2012010017. The reversal of 2012010001 is 1000102102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1599920001 + 412090000 = 39999^2 + 20300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012010001 - 2⁵ = 2012009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012010101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006005000 + 1006005001.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005001).

Almost surely, 2^2012010001 is an apocalyptic number.

It is an amenable number.

2012010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012010001 is an equidigital number, since it uses as much as digits as its factorization.

2012010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2012010001 is about 44855.4344645105. The cubic root of 2012010001 is about 1262.4379607589.

Adding to 2012010001 its reverse (1000102102), we get a palindrome (3012112103).

The spelling of 2012010001 in words is "two billion, twelve million, ten thousand, one".