101011111110001 has 4 divisors (see below), whose sum is σ = 101014666740900. Its totient is φ = 101007555479104.

The previous prime is 101011111109969. The next prime is 101011111110017. The reversal of 101011111110001 is 100011111110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87350332899600 + 13660778210401 = 9346140^2 + 3696049^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111110001 - 2⁵ = 101011111109969 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 101011111110001.

It is not an unprimeable number, because it can be changed into a prime (101011111170001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1777772836 + ... + 1777829653.

It is an arithmetic number, because the mean of its divisors is an integer number (25253666685225).

Almost surely, 2^{101011111110001} is an apocalyptic number.

It is an amenable number.

101011111110001 is a deficient number, since it is larger than the sum of its proper divisors (3555630899).

101011111110001 is an equidigital number, since it uses as much as digits as its factorization.

101011111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555630898.

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

Adding to 101011111110001 its reverse (100011111110101), we get a palindrome (201022222220102).

The spelling of 101011111110001 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one".