100111001001018 has 48 divisors (see below), whose sum is σ = 237866868238464. Its totient is φ = 27994565625600.

The previous prime is 100111001000999. The next prime is 100111001001031. The reversal of 100111001001018 is 810100100111001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100111001000988 and 100111001001006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3622471383 + ... + 3622499018.

It is an arithmetic number, because the mean of its divisors is an integer number (4955559754968).

Almost surely, 2^{100111001001018} is an apocalyptic number.

100111001001018 is an abundant number, since it is smaller than the sum of its proper divisors (137755867237446).

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

100111001001018 is a wasteful number, since it uses less digits than its factorization.

100111001001018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244970467 (or 7244970460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100111001001018 its reverse (810100100111001), we get a palindrome (910211101112019).

The spelling of 100111001001018 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, eighteen".