1001001000096 has 72 divisors (see below), whose sum is σ = 2865448351584. Its totient is φ = 331457270400.

The previous prime is 1001001000061. The next prime is 1001001000113. The reversal of 1001001000096 is 6900001001001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11465446 + ... + 11552421.

It is an arithmetic number, because the mean of its divisors is an integer number (39797893772).

Almost surely, 2^{1001001000096} is an apocalyptic number.

1001001000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1001001000096 is an abundant number, since it is smaller than the sum of its proper divisors (1864447351488).

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

1001001000096 is a wasteful number, since it uses less digits than its factorization.

1001001000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23018034 (or 23018023 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1001001000096 its reverse (6900001001001), we get a palindrome (7901002001097).

The spelling of 1001001000096 in words is "one trillion, one billion, one million, ninety-six", and thus it is an aban number and an uban number.