10002172167 has 20 divisors (see below), whose sum is σ = 16090865560. Its totient is φ = 6155182224.

The previous prime is 10002172163. The next prime is 10002172183. The reversal of 10002172167 is 76127120001.

It is not a de Polignac number, because 10002172167 - 2² = 10002172163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002172167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002172163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4748317 + ... + 4750422.

It is an arithmetic number, because the mean of its divisors is an integer number (804543278).

Almost surely, 2^10002172167 is an apocalyptic number.

10002172167 is a deficient number, since it is larger than the sum of its proper divisors (6088693393).

10002172167 is an equidigital number, since it uses as much as digits as its factorization.

10002172167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498764 (or 9498755 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 10002172167 its reverse (76127120001), we get a palindrome (86129292168).

The spelling of 10002172167 in words is "ten billion, two million, one hundred seventy-two thousand, one hundred sixty-seven".