100110000111066 has 48 divisors (see below), whose sum is σ = 238350816520128. Its totient is φ = 30114930350400.

The previous prime is 100110000111001. The next prime is 100110000111067. The reversal of 100110000111066 is 660111000011001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100110000111067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845250470 + ... + 1845304721.

It is an arithmetic number, because the mean of its divisors is an integer number (4965642010836).

Almost surely, 2^{100110000111066} is an apocalyptic number.

100110000111066 is an abundant number, since it is smaller than the sum of its proper divisors (138240816409062).

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

100110000111066 is a wasteful number, since it uses less digits than its factorization.

100110000111066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690555347 (or 3690555344 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100110000111066 its reverse (660111000011001), we get a palindrome (760221000122067).

The spelling of 100110000111066 in words is "one hundred trillion, one hundred ten billion, one hundred eleven thousand, sixty-six".