100111120001 has 4 divisors (see below), whose sum is σ = 100111820292. Its totient is φ = 100110419712.

The previous prime is 100111119973. The next prime is 100111120003. The reversal of 100111120001 is 100021111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 5468750401 + 94642369600 = 73951^2 + 307640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111120001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49880 + ... + 450233.

It is an arithmetic number, because the mean of its divisors is an integer number (25027955073).

Almost surely, 2^100111120001 is an apocalyptic number.

It is an amenable number.

100111120001 is a deficient number, since it is larger than the sum of its proper divisors (700291).

100111120001 is an equidigital number, since it uses as much as digits as its factorization.

100111120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700290.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111120001 its reverse (100021111001), we get a palindrome (200132231002).

The spelling of 100111120001 in words is "one hundred billion, one hundred eleven million, one hundred twenty thousand, one".