101111011011111 has 8 divisors (see below), whose sum is σ = 134820280758384. Its totient is φ = 67404540968960.

The previous prime is 101111011011083. The next prime is 101111011011133. The reversal of 101111011011111 is 111110110111101.

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 101111011011111 - 2²⁶ = 101110943902247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011011161) 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, 699842010 + ... + 699986471.

It is an arithmetic number, because the mean of its divisors is an integer number (16852535094798).

Almost surely, 2^{101111011011111} is an apocalyptic number.

101111011011111 is a deficient number, since it is larger than the sum of its proper divisors (33709269747273).

101111011011111 is a wasteful number, since it uses less digits than its factorization.

101111011011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399852561.

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

Adding to 101111011011111 its reverse (111110110111101), we get a palindrome (212221121122212).

The spelling of 101111011011111 in words is "one hundred one trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred eleven".