91100101110101 has 2 divisors, whose sum is σ = 91100101110102. Its totient is φ = 91100101110100.

The previous prime is 91100101110097. The next prime is 91100101110157. The reversal of 91100101110101 is 10101110100119.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84163193402500 + 6936907707601 = 9174050^2 + 2633801^2 .

It is an emirp because it is prime and its reverse (10101110100119) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91100101110101 - 2² = 91100101110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 91100101110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91100101140101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45550050555050 + 45550050555051.

It is an arithmetic number, because the mean of its divisors is an integer number (45550050555051).

Almost surely, 2^{91100101110101} is an apocalyptic number.

It is an amenable number.

91100101110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

91100101110101 is an equidigital number, since it uses as much as digits as its factorization.

91100101110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 91100101110101 in words is "ninety-one trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred one".