101111011111 has 12 divisors (see below), whose sum is σ = 111178741072. Its totient is φ = 91885860000.

The previous prime is 101111011093. The next prime is 101111011121. The reversal of 101111011111 is 111110111101.

It is a happy number.

It is not a de Polignac number, because 101111011111 - 2²¹ = 101108913959 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 (101111011121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188011 + ... + 487411.

Almost surely, 2^101111011111 is an apocalyptic number.

101111011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111011111 is a deficient number, since it is larger than the sum of its proper divisors (10067729961).

101111011111 is a wasteful number, since it uses less digits than its factorization.

101111011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302214 (or 302203 counting only the distinct ones).

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

Adding to 101111011111 its reverse (111110111101), we get a palindrome (212221122212).

It can be divided in two parts, 10111101 and 1111, that multiplied together give a palindrome (11233433211).

The spelling of 101111011111 in words is "one hundred one billion, one hundred eleven million, eleven thousand, one hundred eleven".