100111110110001 has 8 divisors (see below), whose sum is σ = 148312755718560. Its totient is φ = 66740740073316.

The previous prime is 100111110109909. The next prime is 100111110110003. The reversal of 100111110110001 is 100011011111001.

It is not a de Polignac number, because 100111110110001 - 2¹³ = 100111110101809 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 (100111110110003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853909446455 + ... + 1853909446508.

It is an arithmetic number, because the mean of its divisors is an integer number (18539094464820).

Almost surely, 2^{100111110110001} is an apocalyptic number.

It is an amenable number.

100111110110001 is a deficient number, since it is larger than the sum of its proper divisors (48201645608559).

100111110110001 is an equidigital number, since it uses as much as digits as its factorization.

100111110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707818892972 (or 3707818892966 counting only the distinct ones).

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

Adding to 100111110110001 its reverse (100011011111001), we get a palindrome (200122121221002).

The spelling of 100111110110001 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one".