101111110110001 has 8 divisors (see below), whose sum is σ = 103244341220424. Its totient is φ = 98998099200000.

The previous prime is 101111110109957. The next prime is 101111110110097. The reversal of 101111110110001 is 100011011111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39755534429601 + 61355575680400 = 6305199^2 + 7832980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111110110001 - 2²⁵ = 101111076555569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111110110001.

It is not an unprimeable number, because it can be changed into a prime (101111110111001) 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, 5055040000 + ... + 5055060001.

It is an arithmetic number, because the mean of its divisors is an integer number (12905542652553).

Almost surely, 2^{101111110110001} is an apocalyptic number.

It is an amenable number.

101111110110001 is a deficient number, since it is larger than the sum of its proper divisors (2133231110423).

101111110110001 is a wasteful number, since it uses less digits than its factorization.

101111110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110100211.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111110110001 its reverse (100011011111101), we get a palindrome (201122121221102).

It can be divided in two parts, 1011111101 and 10001, that multiplied together give a palindrome (10112122121101).

The spelling of 101111110110001 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one".