91041101010000 has 1000 divisors, whose sum is σ = 344553343436544. Its totient is φ = 23172168960000.

The previous prime is 91041101009977. The next prime is 91041101010001. The reversal of 91041101010000 is 1010114019.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×91041101010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91041101010001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1833005167 + ... + 1833054833.

Almost surely, 2^{91041101010000} is an apocalyptic number.

91041101010000 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 91041101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172276671718272).

91041101010000 is an abundant number, since it is smaller than the sum of its proper divisors (253512242426544).

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

91041101010000 is a wasteful number, since it uses less digits than its factorization.

91041101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49811 (or 49781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 91041101010000 its reverse (1010114019), we get a palindrome (91042111124019).

The spelling of 91041101010000 in words is "ninety-one trillion, forty-one billion, one hundred one million, ten thousand".