20100110100167 has 2 divisors, whose sum is σ = 20100110100168. Its totient is φ = 20100110100166.

The previous prime is 20100110100163. The next prime is 20100110100241. The reversal of 20100110100167 is 76100101100102.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 20100110100167 - 2² = 20100110100163 is a prime.

It is a super-3 number, since 3×20100110100167³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100110100163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050055050083 + 10050055050084.

It is an arithmetic number, because the mean of its divisors is an integer number (10050055050084).

Almost surely, 2^{20100110100167} is an apocalyptic number.

20100110100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100110100167 is an equidigital number, since it uses as much as digits as its factorization.

20100110100167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 20100110100167 its reverse (76100101100102), we get a palindrome (96200211200269).

The spelling of 20100110100167 in words is "twenty trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred sixty-seven".