2001012051001 has 2 divisors, whose sum is σ = 2001012051002. Its totient is φ = 2001012051000.

The previous prime is 2001012050959. The next prime is 2001012051007. The reversal of 2001012051001 is 1001502101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1749334245376 + 251677805625 = 1322624^2 + 501675^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001012051001 - 2³⁵ = 1966652312633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001012051007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506025500 + 1000506025501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506025501).

Almost surely, 2^{2001012051001} is an apocalyptic number.

It is an amenable number.

2001012051001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001012051001 is an equidigital number, since it uses as much as digits as its factorization.

2001012051001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 2001012051001 its reverse (1001502101002), we get a palindrome (3002514152003).

The spelling of 2001012051001 in words is "two trillion, one billion, twelve million, fifty-one thousand, one".