1000110099967 has 24 divisors (see below), whose sum is σ = 1104011447616. Its totient is φ = 905296392000.

The previous prime is 1000110099949. The next prime is 1000110099983. The reversal of 1000110099967 is 7699900110001.

It is a happy number.

It is not a de Polignac number, because 1000110099967 - 2⁷ = 1000110099839 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110099997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34928917 + ... + 34957537.

It is an arithmetic number, because the mean of its divisors is an integer number (46000476984).

Almost surely, 2^{1000110099967} is an apocalyptic number.

1000110099967 is a deficient number, since it is larger than the sum of its proper divisors (103901347649).

1000110099967 is a wasteful number, since it uses less digits than its factorization.

1000110099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29871 (or 29860 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 43.

The spelling of 1000110099967 in words is "one trillion, one hundred ten million, ninety-nine thousand, nine hundred sixty-seven".