9100091000101 has 2 divisors, whose sum is σ = 9100091000102. Its totient is φ = 9100091000100.

The previous prime is 9100091000087. The next prime is 9100091000113. The reversal of 9100091000101 is 1010001900019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8155450850625 + 944640149476 = 2855775^2 + 971926^2 .

It is a cyclic number.

It is not a de Polignac number, because 9100091000101 - 2⁹ = 9100090999589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9100091000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550045500050 + 4550045500051.

It is an arithmetic number, because the mean of its divisors is an integer number (4550045500051).

Almost surely, 2^{9100091000101} is an apocalyptic number.

It is an amenable number.

9100091000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100091000101 is an equidigital number, since it uses as much as digits as its factorization.

9100091000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9100091000101 in words is "nine trillion, one hundred billion, ninety-one million, one hundred one", and thus it is an aban number.