10101100101011 has 16 divisors (see below), whose sum is σ = 10833037244064. Its totient is φ = 9384657321984.

The previous prime is 10101100100983. The next prime is 10101100101041. The reversal of 10101100101011 is 11010100110101.

It is a cyclic number.

It is not a de Polignac number, because 10101100101011 - 2¹⁸ = 10101099838867 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 10101100101011.

It is not an unprimeable number, because it can be changed into a prime (10101100101041) 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, 1223990 + ... + 4658363.

It is an arithmetic number, because the mean of its divisors is an integer number (677064827754).

Almost surely, 2^{10101100101011} is an apocalyptic number.

10101100101011 is a deficient number, since it is larger than the sum of its proper divisors (731937143053).

10101100101011 is a wasteful number, since it uses less digits than its factorization.

10101100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883670.

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

Adding to 10101100101011 its reverse (11010100110101), we get a palindrome (21111200211112).

It can be divided in two parts, 10101100 and 101011, that multiplied together give a square (1020322212100 = 1010110²).

The spelling of 10101100101011 in words is "ten trillion, one hundred one billion, one hundred million, one hundred one thousand, eleven".