2001112020001 has 2 divisors, whose sum is σ = 2001112020002. Its totient is φ = 2001112020000.

The previous prime is 2001112019987. The next prime is 2001112020029. The reversal of 2001112020001 is 1000202111002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1860018630625 + 141093389376 = 1363825^2 + 375624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001112020001 - 2¹³ = 2001112011809 is a prime.

It is a super-3 number, since 3×2001112020001³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001112020001.

It is not a weakly prime, because it can be changed into another prime (2001112020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000556010000 + 1000556010001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000556010001).

Almost surely, 2^{2001112020001} is an apocalyptic number.

It is an amenable number.

2001112020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001112020001 is an equidigital number, since it uses as much as digits as its factorization.

2001112020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001112020001 its reverse (1000202111002), we get a palindrome (3001314131003).

The spelling of 2001112020001 in words is "two trillion, one billion, one hundred twelve million, twenty thousand, one".