10001009837867 has 2 divisors, whose sum is σ = 10001009837868. Its totient is φ = 10001009837866.

The previous prime is 10001009837849. The next prime is 10001009837879. The reversal of 10001009837867 is 76873890010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001009837867 - 2¹⁴ = 10001009821483 is a prime.

It is a super-2 number, since 2×10001009837867² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001009834867) 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, 5000504918933 + 5000504918934.

It is an arithmetic number, because the mean of its divisors is an integer number (5000504918934).

Almost surely, 2^{10001009837867} is an apocalyptic number.

10001009837867 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001009837867 is an equidigital number, since it uses as much as digits as its factorization.

10001009837867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 50.

Adding to 10001009837867 its reverse (76873890010001), we get a palindrome (86874899847868).

The spelling of 10001009837867 in words is "ten trillion, one billion, nine million, eight hundred thirty-seven thousand, eight hundred sixty-seven".