2101011120167 has 2 divisors, whose sum is σ = 2101011120168. Its totient is φ = 2101011120166.

The previous prime is 2101011120151. The next prime is 2101011120239. The reversal of 2101011120167 is 7610211101012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2101011120167 - 2⁴ = 2101011120151 is a prime.

It is a super-2 number, since 2×2101011120167² (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 (2101011120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050505560083 + 1050505560084.

It is an arithmetic number, because the mean of its divisors is an integer number (1050505560084).

Almost surely, 2^{2101011120167} is an apocalyptic number.

2101011120167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101011120167 is an equidigital number, since it uses as much as digits as its factorization.

2101011120167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 2101011120167 its reverse (7610211101012), we get a palindrome (9711222221179).

The spelling of 2101011120167 in words is "two trillion, one hundred one billion, eleven million, one hundred twenty thousand, one hundred sixty-seven".