2120102100167 has 2 divisors, whose sum is σ = 2120102100168. Its totient is φ = 2120102100166.

The previous prime is 2120102100037. The next prime is 2120102100187. The reversal of 2120102100167 is 7610012010212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2120102100167 - 2⁸ = 2120102099911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120102100187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060051050083 + 1060051050084.

It is an arithmetic number, because the mean of its divisors is an integer number (1060051050084).

Almost surely, 2^{2120102100167} is an apocalyptic number.

2120102100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120102100167 is an equidigital number, since it uses as much as digits as its factorization.

2120102100167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 2120102100167 its reverse (7610012010212), we get a palindrome (9730114110379).

The spelling of 2120102100167 in words is "two trillion, one hundred twenty billion, one hundred two million, one hundred thousand, one hundred sixty-seven".