10000100010067 has 2 divisors, whose sum is σ = 10000100010068. Its totient is φ = 10000100010066.

The previous prime is 10000100010029. The next prime is 10000100010133. The reversal of 10000100010067 is 76001000100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100010067 - 2¹⁵ = 10000099977299 is a prime.

It is a super-2 number, since 2×10000100010067² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100010067.

It is not a weakly prime, because it can be changed into another prime (10000100010767) 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, 5000050005033 + 5000050005034.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050005034).

Almost surely, 2^{10000100010067} is an apocalyptic number.

10000100010067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100010067 is an equidigital number, since it uses as much as digits as its factorization.

10000100010067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10000100010067 its reverse (76001000100001), we get a palindrome (86001100110068).

The spelling of 10000100010067 in words is "ten trillion, one hundred million, ten thousand, sixty-seven".