2011120100167 has 2 divisors, whose sum is σ = 2011120100168. Its totient is φ = 2011120100166.

The previous prime is 2011120100117. The next prime is 2011120100183. The reversal of 2011120100167 is 7610010211102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011120100167 - 2¹⁵ = 2011120067399 is a prime.

It is a super-2 number, since 2×2011120100167² (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 (2011120100107) 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, 1005560050083 + 1005560050084.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560050084).

Almost surely, 2^{2011120100167} is an apocalyptic number.

2011120100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011120100167 is an equidigital number, since it uses as much as digits as its factorization.

2011120100167 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 22.

Adding to 2011120100167 its reverse (7610010211102), we get a palindrome (9621130311269).

The spelling of 2011120100167 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred sixty-seven".