101011010011011 has 12 divisors (see below), whose sum is σ = 152248478857488. Its totient is φ = 64412817977904.

The previous prime is 101011010010997. The next prime is 101011010011013. The reversal of 101011010011011 is 110110010110101.

It is not a de Polignac number, because 101011010011011 - 2⁵ = 101011010010979 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 = 101011010010984 and 101011010011002.

It is not an unprimeable number, because it can be changed into a prime (101011010011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243987946680 + ... + 243987947093.

It is an arithmetic number, because the mean of its divisors is an integer number (12687373238124).

Almost surely, 2^{101011010011011} is an apocalyptic number.

101011010011011 is a deficient number, since it is larger than the sum of its proper divisors (51237468846477).

101011010011011 is a wasteful number, since it uses less digits than its factorization.

101011010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487975893802 (or 487975893799 counting only the distinct ones).

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

Adding to 101011010011011 its reverse (110110010110101), we get a palindrome (211121020121112).

The spelling of 101011010011011 in words is "one hundred one trillion, eleven billion, ten million, eleven thousand, eleven".