91910101121 has 2 divisors, whose sum is σ = 91910101122. Its totient is φ = 91910101120.

The previous prime is 91910101097. The next prime is 91910101123. The reversal of 91910101121 is 12110101919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55255084096 + 36655017025 = 235064^2 + 191455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91910101121 is a prime.

Together with 91910101123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (91910101123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45955050560 + 45955050561.

It is an arithmetic number, because the mean of its divisors is an integer number (45955050561).

Almost surely, 2^91910101121 is an apocalyptic number.

It is an amenable number.

91910101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

91910101121 is an equidigital number, since it uses as much as digits as its factorization.

91910101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 91910101121 in words is "ninety-one billion, nine hundred ten million, one hundred one thousand, one hundred twenty-one".