101011101011 has 16 divisors (see below), whose sum is σ = 103335529248. Its totient is φ = 98714880000.

The previous prime is 101011101001. The next prime is 101011101053. The reversal of 101011101011 is 110101110101.

It is a cyclic number.

It is not a de Polignac number, because 101011101011 - 2¹⁴ = 101011084627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011101011.

It is not an unprimeable number, because it can be changed into a prime (101011101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10197161 + ... + 10207061.

It is an arithmetic number, because the mean of its divisors is an integer number (6458470578).

Almost surely, 2^101011101011 is an apocalyptic number.

101011101011 is a deficient number, since it is larger than the sum of its proper divisors (2324428237).

101011101011 is a wasteful number, since it uses less digits than its factorization.

101011101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011101011 its reverse (110101110101), we get a palindrome (211112211112).

It can be divided in two parts, 10101 and 1101011, that multiplied together give a palindrome (11121312111).

The spelling of 101011101011 in words is "one hundred one billion, eleven million, one hundred one thousand, eleven".