101111102110001 has 4 divisors (see below), whose sum is σ = 101122224229104. Its totient is φ = 101099979990900.

The previous prime is 101111102109989. The next prime is 101111102110003. The reversal of 101111102110001 is 100011201111101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101111102110001 - 2⁶ = 101111102109937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111102110003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5561045915 + ... + 5561064096.

It is an arithmetic number, because the mean of its divisors is an integer number (25280556057276).

Almost surely, 2^{101111102110001} is an apocalyptic number.

It is an amenable number.

101111102110001 is a deficient number, since it is larger than the sum of its proper divisors (11122119103).

101111102110001 is an equidigital number, since it uses as much as digits as its factorization.

101111102110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122119102.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111102110001 its reverse (100011201111101), we get a palindrome (201122303221102).

The spelling of 101111102110001 in words is "one hundred one trillion, one hundred eleven billion, one hundred two million, one hundred ten thousand, one".