99100000890000 has 600 divisors, whose sum is σ = 391110227164800. Its totient is φ = 23195813760000.

The previous prime is 99100000889957. The next prime is 99100000890001. The reversal of 99100000890000 is 9800000199.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (99100000890001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26984121 + ... + 30435879.

It is an arithmetic number, because the mean of its divisors is an integer number (651850378608).

Almost surely, 2^{99100000890000} is an apocalyptic number.

99100000890000 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 99100000890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195555113582400).

99100000890000 is an abundant number, since it is smaller than the sum of its proper divisors (292010226274800).

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

99100000890000 is a wasteful number, since it uses less digits than its factorization.

99100000890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451833 (or 3451809 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Adding to 99100000890000 its reverse (9800000199), we get a palindrome (99109800890199).

The spelling of 99100000890000 in words is "ninety-nine trillion, one hundred billion, eight hundred ninety thousand".