101111101111011 has 8 divisors (see below), whose sum is σ = 134814862283344. Its totient is φ = 67407370339680.

The previous prime is 101111101110979. The next prime is 101111101111043. The reversal of 101111101111011 is 110111101111101.

It is an interprime number because it is at equal distance from previous prime (101111101110979) and next prime (101111101111043).

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

It is not a de Polignac number, because 101111101111011 - 2⁵ = 101111101110979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111101111051) 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, 1832745 + ... + 14338101.

It is an arithmetic number, because the mean of its divisors is an integer number (16851857785418).

Almost surely, 2^{101111101111011} is an apocalyptic number.

101111101111011 is a deficient number, since it is larger than the sum of its proper divisors (33703761172333).

101111101111011 is a wasteful number, since it uses less digits than its factorization.

101111101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200501.

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

Adding to 101111101111011 its reverse (110111101111101), we get a palindrome (211222202222112).

The spelling of 101111101111011 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, eleven".