91910100101 has 2 divisors, whose sum is σ = 91910100102. Its totient is φ = 91910100100.

The previous prime is 91910099989. The next prime is 91910100103. The reversal of 91910100101 is 10100101919.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88857648100 + 3052452001 = 298090^2 + 55249^2 .

It is a cyclic number.

It is not a de Polignac number, because 91910100101 - 2²² = 91905905797 is a prime.

Together with 91910100103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91910100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45955050050 + 45955050051.

It is an arithmetic number, because the mean of its divisors is an integer number (45955050051).

Almost surely, 2^91910100101 is an apocalyptic number.

It is an amenable number.

91910100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

91910100101 is an equidigital number, since it uses as much as digits as its factorization.

91910100101 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 23.

The spelling of 91910100101 in words is "ninety-one billion, nine hundred ten million, one hundred thousand, one hundred one".