100122167 has 8 divisors (see below), whose sum is σ = 102076800. Its totient is φ = 98177760.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122167 is 761221001.

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 100122167 - 2⁸ = 100121911 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 (100122067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18938 + ... + 23640.

It is an arithmetic number, because the mean of its divisors is an integer number (12759600).

Almost surely, 2^100122167 is an apocalyptic number.

100122167 is a deficient number, since it is larger than the sum of its proper divisors (1954633).

100122167 is an equidigital number, since it uses as much as digits as its factorization.

100122167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 100122167 is about 10006.1064855417. The cubic root of 100122167 is about 464.3478227693.

Adding to 100122167 its reverse (761221001), we get a palindrome (861343168).

The spelling of 100122167 in words is "one hundred million, one hundred twenty-two thousand, one hundred sixty-seven".