9901101011167 has 2 divisors, whose sum is σ = 9901101011168. Its totient is φ = 9901101011166.

The previous prime is 9901101011141. The next prime is 9901101011177. The reversal of 9901101011167 is 7611101011099.

9901101011167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 9901101011167 - 2²⁷ = 9900966793439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9901101011177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4950550505583 + 4950550505584.

It is an arithmetic number, because the mean of its divisors is an integer number (4950550505584).

Almost surely, 2^{9901101011167} is an apocalyptic number.

9901101011167 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901101011167 is an equidigital number, since it uses as much as digits as its factorization.

9901101011167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 37.

The spelling of 9901101011167 in words is "nine trillion, nine hundred one billion, one hundred one million, eleven thousand, one hundred sixty-seven".