100100001100110 has 64 divisors (see below), whose sum is σ = 277496473653504. Its totient is φ = 22839215936000.

The previous prime is 100100001100097. The next prime is 100100001100133. The reversal of 100100001100110 is 11001100001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

100100001100110 is a modest number, since divided by 1100110 gives 1001000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8921563116 + ... + 8921574335.

It is an arithmetic number, because the mean of its divisors is an integer number (4335882400836).

Almost surely, 2^{100100001100110} is an apocalyptic number.

100100001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100001100110 is an abundant number, since it is smaller than the sum of its proper divisors (177396472553394).

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

100100001100110 is a wasteful number, since it uses less digits than its factorization.

100100001100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843137489.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001100110 its reverse (11001100001001), we get a palindrome (111101101101111).

The spelling of 100100001100110 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, one hundred ten".