99201348000 has 288 divisors, whose sum is σ = 365108627520. Its totient is φ = 26453433600.

The previous prime is 99201347989. The next prime is 99201348023. The reversal of 99201348000 is 84310299.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 920971 + ... + 1023029.

It is an arithmetic number, because the mean of its divisors is an integer number (1267738290).

Almost surely, 2^99201348000 is an apocalyptic number.

99201348000 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 99201348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182554313760).

99201348000 is an abundant number, since it is smaller than the sum of its proper divisors (265907279520).

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

99201348000 is a wasteful number, since it uses less digits than its factorization.

99201348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102099 (or 102069 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 99201348000 its reverse (84310299), we get a palindrome (99285658299).

The spelling of 99201348000 in words is "ninety-nine billion, two hundred one million, three hundred forty-eight thousand".