21101001012167 has 2 divisors, whose sum is σ = 21101001012168. Its totient is φ = 21101001012166.

The previous prime is 21101001012151. The next prime is 21101001012229. The reversal of 21101001012167 is 76121010010112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21101001012167 - 2⁴ = 21101001012151 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101001012667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550500506083 + 10550500506084.

It is an arithmetic number, because the mean of its divisors is an integer number (10550500506084).

Almost surely, 2^{21101001012167} is an apocalyptic number.

21101001012167 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101001012167 is an equidigital number, since it uses as much as digits as its factorization.

21101001012167 is an evil number, because the sum of its binary digits is even.

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

Adding to 21101001012167 its reverse (76121010010112), we get a palindrome (97222011022279).

The spelling of 21101001012167 in words is "twenty-one trillion, one hundred one billion, one million, twelve thousand, one hundred sixty-seven".