2001002112007 has 2 divisors, whose sum is σ = 2001002112008. Its totient is φ = 2001002112006.

The previous prime is 2001002111993. The next prime is 2001002112029. The reversal of 2001002112007 is 7002112001002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2001002112007 - 2¹⁹ = 2001001587719 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001002112607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000501056003 + 1000501056004.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501056004).

Almost surely, 2^{2001002112007} is an apocalyptic number.

2001002112007 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002112007 is an equidigital number, since it uses as much as digits as its factorization.

2001002112007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 2001002112007 its reverse (7002112001002), we get a palindrome (9003114113009).

The spelling of 2001002112007 in words is "two trillion, one billion, two million, one hundred twelve thousand, seven".