100100011101066 has 48 divisors (see below), whose sum is σ = 224965327414464. Its totient is φ = 33359363590464.

The previous prime is 100100011101037. The next prime is 100100011101067. The reversal of 100100011101066 is 660101110001001.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100011101067) 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, 20329935 + ... + 24769058.

It is an arithmetic number, because the mean of its divisors is an integer number (4686777654468).

Almost surely, 2^{100100011101066} is an apocalyptic number.

100100011101066 is an abundant number, since it is smaller than the sum of its proper divisors (124865316313398).

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

100100011101066 is an equidigital number, since it uses as much as digits as its factorization.

100100011101066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45103577 (or 45103565 counting only the distinct ones).

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

Adding to 100100011101066 its reverse (660101110001001), we get a palindrome (760201121102067).

The spelling of 100100011101066 in words is "one hundred trillion, one hundred billion, eleven million, one hundred one thousand, sixty-six".