1101100100166 has 48 divisors (see below), whose sum is σ = 2602893279168. Its totient is φ = 333629127600.

The previous prime is 1101100100147. The next prime is 1101100100167. The reversal of 1101100100166 is 6610010011011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100100167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475605 + ... + 2092751.

It is an arithmetic number, because the mean of its divisors is an integer number (54226943316).

Almost surely, 2^{1101100100166} is an apocalyptic number.

1101100100166 is an abundant number, since it is smaller than the sum of its proper divisors (1501793179002).

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

1101100100166 is a wasteful number, since it uses less digits than its factorization.

1101100100166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626177 (or 626174 counting only the distinct ones).

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

Adding to 1101100100166 its reverse (6610010011011), we get a palindrome (7711110111177).

The spelling of 1101100100166 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred sixty-six".