2001000000107 has 2 divisors, whose sum is σ = 2001000000108. Its totient is φ = 2001000000106.

The previous prime is 2001000000079. The next prime is 2001000000113. The reversal of 2001000000107 is 7010000001002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001000000107 is a prime.

It is a super-2 number, since 2×2001000000107² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001000000607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500000053 + 1000500000054.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500000054).

Almost surely, 2^{2001000000107} is an apocalyptic number.

2001000000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001000000107 is an equidigital number, since it uses as much as digits as its factorization.

2001000000107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

Adding to 2001000000107 its reverse (7010000001002), we get a palindrome (9011000001109).

The spelling of 2001000000107 in words is "two trillion, one billion, one hundred seven", and thus it is an aban number.