2120110122167 has 2 divisors, whose sum is σ = 2120110122168. Its totient is φ = 2120110122166.

The previous prime is 2120110122133. The next prime is 2120110122257. The reversal of 2120110122167 is 7612210110212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2120110122167 - 2³⁰ = 2119036380343 is a prime.

It is a super-2 number, since 2×2120110122167² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120116122167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060055061083 + 1060055061084.

It is an arithmetic number, because the mean of its divisors is an integer number (1060055061084).

Almost surely, 2^{2120110122167} is an apocalyptic number.

2120110122167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120110122167 is an equidigital number, since it uses as much as digits as its factorization.

2120110122167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 2120110122167 its reverse (7612210110212), we get a palindrome (9732320232379).

The spelling of 2120110122167 in words is "two trillion, one hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, one hundred sixty-seven".