101011110111111 has 8 divisors (see below), whose sum is σ = 138321520152304. Its totient is φ = 65520720072000.

The previous prime is 101011110111077. The next prime is 101011110111161. The reversal of 101011110111111 is 111111011110101.

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

It is not a de Polignac number, because 101011110111111 - 2²² = 101011105916807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011110111161) 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 7 ways as a sum of consecutive naturals, for example, 455005000390 + ... + 455005000611.

It is an arithmetic number, because the mean of its divisors is an integer number (17290190019038).

Almost surely, 2^{101011110111111} is an apocalyptic number.

101011110111111 is a deficient number, since it is larger than the sum of its proper divisors (37310410041193).

101011110111111 is an equidigital number, since it uses as much as digits as its factorization.

101011110111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910010001041.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101011110111111 its reverse (111111011110101), we get a palindrome (212122121221212).

The spelling of 101011110111111 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred eleven".