2121111102167 has 2 divisors, whose sum is σ = 2121111102168. Its totient is φ = 2121111102166.

The previous prime is 2121111102139. The next prime is 2121111102191. The reversal of 2121111102167 is 7612011111212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2121111102167 - 2¹⁶ = 2121111036631 is a prime.

It is a super-2 number, since 2×2121111102167² (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 (2121111102107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060555551083 + 1060555551084.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555551084).

Almost surely, 2^{2121111102167} is an apocalyptic number.

2121111102167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121111102167 is an equidigital number, since it uses as much as digits as its factorization.

2121111102167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 2121111102167 its reverse (7612011111212), we get a palindrome (9733122213379).

The spelling of 2121111102167 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred sixty-seven".