11302010100096 has 128 divisors (see below), whose sum is σ = 30081392668800. Its totient is φ = 3759759360000.

The previous prime is 11302010100077. The next prime is 11302010100103. The reversal of 11302010100096 is 69000101020311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 569619136 + ... + 569638976.

It is an arithmetic number, because the mean of its divisors is an integer number (235010880225).

Almost surely, 2^{11302010100096} is an apocalyptic number.

11302010100096 is a gapful number since it is divisible by the number (16) 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 11302010100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040696334400).

11302010100096 is an abundant number, since it is smaller than the sum of its proper divisors (18779382568704).

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

11302010100096 is a wasteful number, since it uses less digits than its factorization.

11302010100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22768 (or 22756 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 11302010100096 in words is "eleven trillion, three hundred two billion, ten million, one hundred thousand, ninety-six".