91909919101 has 64 divisors (see below), whose sum is σ = 127867299840. Its totient is φ = 63760170240.

The previous prime is 91909919081. The next prime is 91909919137. The reversal of 91909919101 is 10191990919.

It is a happy number.

It is not a de Polignac number, because 91909919101 - 2²⁹ = 91373048189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91909919141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3115446 + ... + 3144808.

It is an arithmetic number, because the mean of its divisors is an integer number (1997926560).

Almost surely, 2^91909919101 is an apocalyptic number.

91909919101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

91909919101 is a deficient number, since it is larger than the sum of its proper divisors (35957380739).

91909919101 is a wasteful number, since it uses less digits than its factorization.

91909919101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29506.

The product of its (nonzero) digits is 59049, while the sum is 49.

The spelling of 91909919101 in words is "ninety-one billion, nine hundred nine million, nine hundred nineteen thousand, one hundred one".