100011110111001 has 48 divisors (see below), whose sum is σ = 151987863540240. Its totient is φ = 63288002211840.

The previous prime is 100011110110939. The next prime is 100011110111009. The reversal of 100011110111001 is 100111011110001.

It can be written as a sum of positive squares in 8 ways, for example, as 7458552171225 + 92552557939776 = 2731035^2 + 9620424^2 .

It is not a de Polignac number, because 100011110111001 - 2¹³ = 100011110102809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100011110111009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597822195 + ... + 597989463.

It is an arithmetic number, because the mean of its divisors is an integer number (3166413823755).

Almost surely, 2^{100011110111001} is an apocalyptic number.

It is an amenable number.

100011110111001 is a deficient number, since it is larger than the sum of its proper divisors (51976753429239).

100011110111001 is a wasteful number, since it uses less digits than its factorization.

100011110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211146 (or 211143 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100011110111001 its reverse (100111011110001), we get a palindrome (200122121221002).

It can be divided in two parts, 100011 and 110111001, that multiplied together give a palindrome (11012311321011).

The spelling of 100011110111001 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one".