91121319900 has 288 divisors, whose sum is σ = 320188673280. Its totient is φ = 22094519040.

The previous prime is 91121319893. The next prime is 91121319929. The reversal of 91121319900 is 991312119.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332327 + ... + 2371073.

Almost surely, 2^91121319900 is an apocalyptic number.

91121319900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91121319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160094336640).

91121319900 is an abundant number, since it is smaller than the sum of its proper divisors (229067353380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91121319900 is a wasteful number, since it uses less digits than its factorization.

91121319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850 (or 38837 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The spelling of 91121319900 in words is "ninety-one billion, one hundred twenty-one million, three hundred nineteen thousand, nine hundred".