91910010100000 has 288 divisors, whose sum is σ = 229265508099600. Its totient is φ = 36263616000000.

The previous prime is 91910010099959. The next prime is 91910010100061. The reversal of 91910010100000 is 101001919.

It can be written as a sum of positive squares in 24 ways, for example, as 64468630743696 + 27441379356304 = 8029236^2 + 5238452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2716883086 + ... + 2716916914.

Almost surely, 2^{91910010100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91910010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114632754049800).

91910010100000 is an abundant number, since it is smaller than the sum of its proper divisors (137355497999600).

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

91910010100000 is a wasteful number, since it uses less digits than its factorization.

91910010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34234 (or 34206 counting only the distinct ones).

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

Adding to 91910010100000 its reverse (101001919), we get a palindrome (91910111101919).

The spelling of 91910010100000 in words is "ninety-one trillion, nine hundred ten billion, ten million, one hundred thousand".