1110010099968 has 288 divisors, whose sum is σ = 4092463441920. Its totient is φ = 288314173440.

The previous prime is 1110010099949. The next prime is 1110010099969. The reversal of 1110010099968 is 8699900100111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1110010099968³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1110010099969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510580 + ... + 1575027.

Almost surely, 2^{1110010099968} is an apocalyptic number.

1110010099968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1110010099968 is an abundant number, since it is smaller than the sum of its proper divisors (2982453341952).

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

1110010099968 is a wasteful number, since it uses less digits than its factorization.

1110010099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085650 (or 2085630 counting only the distinct ones).

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

The spelling of 1110010099968 in words is "one trillion, one hundred ten billion, ten million, ninety-nine thousand, nine hundred sixty-eight".