10101111101011 has 16 divisors (see below), whose sum is σ = 12543703336960. Its totient is φ = 7937812261440.

The previous prime is 10101111101009. The next prime is 10101111101023. The reversal of 10101111101011 is 11010111110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10101111101011 - 2¹ = 10101111101009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101111101611) 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 15 ways as a sum of consecutive naturals, for example, 1224966906 + ... + 1224975151.

It is an arithmetic number, because the mean of its divisors is an integer number (783981458560).

Almost surely, 2^{10101111101011} is an apocalyptic number.

10101111101011 is a deficient number, since it is larger than the sum of its proper divisors (2442592235949).

10101111101011 is a wasteful number, since it uses less digits than its factorization.

10101111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449942114.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10101111101011 its reverse (11010111110101), we get a palindrome (21111222211112).

The spelling of 10101111101011 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, eleven".