10100110101011 has 12 divisors (see below), whose sum is σ = 11749160784600. Its totient is φ = 8657198091360.

The previous prime is 10100110101001. The next prime is 10100110101043. The reversal of 10100110101011 is 11010101100101.

It is not a de Polignac number, because 10100110101011 - 2⁴² = 5702063589907 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 10100110101011.

It is not an unprimeable number, because it can be changed into a prime (10100110101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17414015 + ... + 17984663.

It is an arithmetic number, because the mean of its divisors is an integer number (979096732050).

Almost surely, 2^{10100110101011} is an apocalyptic number.

10100110101011 is a deficient number, since it is larger than the sum of its proper divisors (1649050683589).

10100110101011 is an equidigital number, since it uses as much as digits as its factorization.

10100110101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931874 (or 931867 counting only the distinct ones).

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

Adding to 10100110101011 its reverse (11010101100101), we get a palindrome (21110211201112).

The spelling of 10100110101011 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, eleven".