101101110111111 has 32 divisors (see below), whose sum is σ = 155931858176256. Its totient is φ = 57585624768000.

The previous prime is 101101110111091. The next prime is 101101110111137. The reversal of 101101110111111 is 111111011101101.

It is not a de Polignac number, because 101101110111111 - 2¹³ = 101101110102919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110115111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130014580 + ... + 130789881.

It is an arithmetic number, because the mean of its divisors is an integer number (4872870568008).

Almost surely, 2^{101101110111111} is an apocalyptic number.

101101110111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101110111111 is a deficient number, since it is larger than the sum of its proper divisors (54830748065145).

101101110111111 is a wasteful number, since it uses less digits than its factorization.

101101110111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260805183.

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

Adding to 101101110111111 its reverse (111111011101101), we get a palindrome (212212121212212).

The spelling of 101101110111111 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred eleven".