101111101101011 has 16 divisors (see below), whose sum is σ = 102523976688000. Its totient is φ = 99701616089088.

The previous prime is 101111101100927. The next prime is 101111101101013. The reversal of 101111101101011 is 110101101111101.

It is a cyclic number.

It is not a de Polignac number, because 101111101101011 - 2²² = 101111096906707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111101100983 and 101111101101001.

It is not an unprimeable number, because it can be changed into a prime (101111101101013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241525571 + ... + 241943843.

It is an arithmetic number, because the mean of its divisors is an integer number (6407748543000).

Almost surely, 2^{101111101101011} is an apocalyptic number.

101111101101011 is a deficient number, since it is larger than the sum of its proper divisors (1412875586989).

101111101101011 is a wasteful number, since it uses less digits than its factorization.

101111101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422318.

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

Adding to 101111101101011 its reverse (110101101111101), we get a palindrome (211212202212112).

The spelling of 101111101101011 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, eleven".