101404214167 has 2 divisors, whose sum is σ = 101404214168. Its totient is φ = 101404214166.

The previous prime is 101404214159. The next prime is 101404214207. The reversal of 101404214167 is 761412404101.

It is a weak prime.

It is an emirp because it is prime and its reverse (761412404101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101404214167 - 2³ = 101404214159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101404214147) 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, 50702107083 + 50702107084.

It is an arithmetic number, because the mean of its divisors is an integer number (50702107084).

Almost surely, 2^101404214167 is an apocalyptic number.

101404214167 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404214167 is an equidigital number, since it uses as much as digits as its factorization.

101404214167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 101404214167 its reverse (761412404101), we get a palindrome (862816618268).

The spelling of 101404214167 in words is "one hundred one billion, four hundred four million, two hundred fourteen thousand, one hundred sixty-seven".