101111101101111 has 8 divisors (see below), whose sum is σ = 134830941188080. Its totient is φ = 67399330874112.

The previous prime is 101111101101053. The next prime is 101111101101113. The reversal of 101111101101111 is 111101101111101.

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

It is not a de Polignac number, because 101111101101111 - 2²⁷ = 101110966883383 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 (101111101101113) 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, 2017435756 + ... + 2017485873.

It is an arithmetic number, because the mean of its divisors is an integer number (16853867648510).

Almost surely, 2^{101111101101111} is an apocalyptic number.

101111101101111 is a deficient number, since it is larger than the sum of its proper divisors (33719840086969).

101111101101111 is an equidigital number, since it uses as much as digits as its factorization.

101111101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034929985.

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

Adding to 101111101101111 its reverse (111101101111101), we get a palindrome (212212202212212).

It can be divided in two parts, 101 and 111101101111, that multiplied together give a palindrome (11221211212211).

The spelling of 101111101101111 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".