1000001000096 has 192 divisors, whose sum is σ = 2474580326400. Its totient is φ = 387862649856.

The previous prime is 1000001000093. The next prime is 1000001000099. The reversal of 1000001000096 is 6900001000001.

It is an interprime number because it is at equal distance from previous prime (1000001000093) and next prime (1000001000099).

It is not an unprimeable number, because it can be changed into a prime (1000001000093) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81142991 + ... + 81155313.

It is an arithmetic number, because the mean of its divisors is an integer number (12888439200).

Almost surely, 2^{1000001000096} is an apocalyptic number.

1000001000096 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 1000001000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237290163200).

1000001000096 is an abundant number, since it is smaller than the sum of its proper divisors (1474579326304).

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

1000001000096 is a wasteful number, since it uses less digits than its factorization.

1000001000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13203 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1000001000096 its reverse (6900001000001), we get a palindrome (7900002000097).

The spelling of 1000001000096 in words is "one trillion, one million, ninety-six", and thus it is an aban number and an uban number.