10011001099968 has 168 divisors, whose sum is σ = 31419713304720. Its totient is φ = 3022358722560.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001099968 is 86999010011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232455 + ... + 4641222.

Almost surely, 2^{10011001099968} is an apocalyptic number.

10011001099968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10011001099968 is an abundant number, since it is smaller than the sum of its proper divisors (21408712204752).

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

10011001099968 is a wasteful number, since it uses less digits than its factorization.

10011001099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873975 (or 5873962 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The spelling of 10011001099968 in words is "ten trillion, eleven billion, one million, ninety-nine thousand, nine hundred sixty-eight".