100001111100110 has 256 divisors, whose sum is σ = 209302273382400. Its totient is φ = 34019912908800.

The previous prime is 100001111100071. The next prime is 100001111100113. The reversal of 100001111100110 is 11001111100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111100113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53220388151 + ... + 53220390029.

It is an arithmetic number, because the mean of its divisors is an integer number (817587005400).

Almost surely, 2^{100001111100110} is an apocalyptic number.

100001111100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001111100110 is an abundant number, since it is smaller than the sum of its proper divisors (109301162282290).

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

100001111100110 is a wasteful number, since it uses less digits than its factorization.

100001111100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100001111100110 its reverse (11001111100001), we get a palindrome (111002222200111).

It can be divided in two parts, 1000011 and 11100110, that added together give a palindrome (12100121).

The spelling of 100001111100110 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred thousand, one hundred ten".