101111111010111 has 64 divisors (see below), whose sum is σ = 140500591902720. Its totient is φ = 64624680230400.

The previous prime is 101111111010109. The next prime is 101111111010181. The reversal of 101111111010111 is 111010111111101.

It is not a de Polignac number, because 101111111010111 - 2¹ = 101111111010109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15197818861 + ... + 15197825513.

It is an arithmetic number, because the mean of its divisors is an integer number (2195321748480).

Almost surely, 2^{101111111010111} is an apocalyptic number.

101111111010111 is a deficient number, since it is larger than the sum of its proper divisors (39389480892609).

101111111010111 is a wasteful number, since it uses less digits than its factorization.

101111111010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096.

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

Adding to 101111111010111 its reverse (111010111111101), we get a palindrome (212121222121212).

The spelling of 101111111010111 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred eleven".