1010010099968 has 144 divisors (see below), whose sum is σ = 2087455930560. Its totient is φ = 487438221312.

The previous prime is 1010010099893. The next prime is 1010010099979. The reversal of 1010010099968 is 8699900100101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356514680 + ... + 356517512.

It is an arithmetic number, because the mean of its divisors is an integer number (14496221740).

Almost surely, 2^{1010010099968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010010099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043727965280).

1010010099968 is an abundant number, since it is smaller than the sum of its proper divisors (1077445830592).

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

1010010099968 is a wasteful number, since it uses less digits than its factorization.

1010010099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 44.

The spelling of 1010010099968 in words is "one trillion, ten billion, ten million, ninety-nine thousand, nine hundred sixty-eight".