101101100006167 has 2 divisors, whose sum is σ = 101101100006168. Its totient is φ = 101101100006166.

The previous prime is 101101100006129. The next prime is 101101100006219. The reversal of 101101100006167 is 761600001101101.

It is a weak prime.

It is an emirp because it is prime and its reverse (761600001101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101100006167 - 2²⁷ = 101100965788439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100066167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550003083 + 50550550003084.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550003084).

Almost surely, 2^{101101100006167} is an apocalyptic number.

101101100006167 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100006167 is an equidigital number, since it uses as much as digits as its factorization.

101101100006167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 101101100006167 its reverse (761600001101101), we get a palindrome (862701101107268).

The spelling of 101101100006167 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, one hundred sixty-seven".