91001111000101 has 2 divisors, whose sum is σ = 91001111000102. Its totient is φ = 91001111000100.

The previous prime is 91001111000047. The next prime is 91001111000207. The reversal of 91001111000101 is 10100011110019.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67532647730625 + 23468463269476 = 8217825^2 + 4844426^2 .

It is an emirp because it is prime and its reverse (10100011110019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91001111000101 - 2²³ = 91001102611493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91001111006101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45500555500050 + 45500555500051.

It is an arithmetic number, because the mean of its divisors is an integer number (45500555500051).

Almost surely, 2^{91001111000101} is an apocalyptic number.

It is an amenable number.

91001111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

91001111000101 is an equidigital number, since it uses as much as digits as its factorization.

91001111000101 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 16.

The spelling of 91001111000101 in words is "ninety-one trillion, one billion, one hundred eleven million, one hundred one", and thus it is an aban number.