100011011000968 has 64 divisors (see below), whose sum is σ = 188213852225520. Its totient is φ = 49821009638400.

The previous prime is 100011011000947. The next prime is 100011011000969. The reversal of 100011011000968 is 869000110110001.

It can be written as a sum of positive squares in 8 ways, for example, as 4994876346084 + 95016134654884 = 2234922^2 + 9747622^2 .

It is not an unprimeable number, because it can be changed into a prime (100011011000969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9862041178 + ... + 9862051318.

Almost surely, 2^{100011011000968} is an apocalyptic number.

It is an amenable number.

100011011000968 is a deficient number, since it is larger than the sum of its proper divisors (88202841224552).

100011011000968 is a wasteful number, since it uses less digits than its factorization.

100011011000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 28.

Adding to 100011011000968 its reverse (869000110110001), we get a palindrome (969011121110969).

The spelling of 100011011000968 in words is "one hundred trillion, eleven billion, eleven million, nine hundred sixty-eight", and thus it is an aban number.