101042601167 has 8 divisors (see below), whose sum is σ = 103631947440. Its totient is φ = 98459202240.

The previous prime is 101042601161. The next prime is 101042601193. The reversal of 101042601167 is 761106240101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101042601167 - 2⁴ = 101042601151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042601161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452413 + ... + 1520390.

It is an arithmetic number, because the mean of its divisors is an integer number (12953993430).

Almost surely, 2^101042601167 is an apocalyptic number.

101042601167 is a deficient number, since it is larger than the sum of its proper divisors (2589346273).

101042601167 is an equidigital number, since it uses as much as digits as its factorization.

101042601167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973673.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 101042601167 its reverse (761106240101), we get a palindrome (862148841268).

The spelling of 101042601167 in words is "one hundred one billion, forty-two million, six hundred one thousand, one hundred sixty-seven".