101010011011011 has 48 divisors (see below), whose sum is σ = 146247921181440. Its totient is φ = 67181239944000.

The previous prime is 101010011010971. The next prime is 101010011011067. The reversal of 101010011011011 is 110110110010101.

It is not a de Polignac number, because 101010011011011 - 2¹⁰ = 101010011009987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010011010984 and 101010011011002.

It is not an unprimeable number, because it can be changed into a prime (101010011011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36986454516 + ... + 36986457246.

It is an arithmetic number, because the mean of its divisors is an integer number (3046831691280).

Almost surely, 2^{101010011011011} is an apocalyptic number.

101010011011011 is a deficient number, since it is larger than the sum of its proper divisors (45237910170429).

101010011011011 is a wasteful number, since it uses less digits than its factorization.

101010011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101010011011011 its reverse (110110110010101), we get a palindrome (211120121021112).

The spelling of 101010011011011 in words is "one hundred one trillion, ten billion, eleven million, eleven thousand, eleven".