101000100067 has 2 divisors, whose sum is σ = 101000100068. Its totient is φ = 101000100066.

The previous prime is 101000100049. The next prime is 101000100101. The reversal of 101000100067 is 760001000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000100067 - 2¹⁵ = 101000067299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000100067.

It is not a weakly prime, because it can be changed into another prime (101000100007) 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, 50500050033 + 50500050034.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050034).

Almost surely, 2^101000100067 is an apocalyptic number.

101000100067 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100067 is an equidigital number, since it uses as much as digits as its factorization.

101000100067 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 101000100067 its reverse (760001000101), we get a palindrome (861001100168).

The spelling of 101000100067 in words is "one hundred one billion, one hundred thousand, sixty-seven".