10211011011 has 16 divisors (see below), whose sum is σ = 15136866720. Its totient is φ = 6803091360.

The previous prime is 10211010967. The next prime is 10211011021. The reversal of 10211011011 is 11011011201.

10211011011 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211011011 - 2⁹ = 10211010499 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 = 10211010984 and 10211011002.

It is not an unprimeable number, because it can be changed into a prime (10211011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73680 + ... + 160781.

It is an arithmetic number, because the mean of its divisors is an integer number (946054170).

Almost surely, 2^10211011011 is an apocalyptic number.

10211011011 is a deficient number, since it is larger than the sum of its proper divisors (4925855709).

10211011011 is a wasteful number, since it uses less digits than its factorization.

10211011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236083 (or 236077 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10211011011 its reverse (11011011201), we get a palindrome (21222022212).

The spelling of 10211011011 in words is "ten billion, two hundred eleven million, eleven thousand, eleven".