101111011101011 has 4 divisors (see below), whose sum is σ = 101111806007400. Its totient is φ = 101110216194624.

The previous prime is 101111011100999. The next prime is 101111011101017. The reversal of 101111011101011 is 110101110111101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101111011101011 - 2²⁶ = 101110943992147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111011100983 and 101111011101001.

It is not an unprimeable number, because it can be changed into a prime (101111011101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397262366 + ... + 397516803.

It is an arithmetic number, because the mean of its divisors is an integer number (25277951501850).

Almost surely, 2^{101111011101011} is an apocalyptic number.

101111011101011 is a deficient number, since it is larger than the sum of its proper divisors (794906389).

101111011101011 is an equidigital number, since it uses as much as digits as its factorization.

101111011101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794906388.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101111011101011 its reverse (110101110111101), we get a palindrome (211212121212112).

It can be divided in two parts, 10111101 and 1101011, that multiplied together give a palindrome (11132433423111).

The spelling of 101111011101011 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred one thousand, eleven".