11010122101011 has 32 divisors (see below), whose sum is σ = 16174150523136. Its totient is φ = 6606380240000.

The previous prime is 11010122101009. The next prime is 11010122101057.

11010122101011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11010122101011 - 2¹ = 11010122101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11010122601011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70671781 + ... + 70827401.

It is an arithmetic number, because the mean of its divisors is an integer number (505442203848).

Almost surely, 2^{11010122101011} is an apocalyptic number.

11010122101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11010122101011 is a deficient number, since it is larger than the sum of its proper divisors (5164028422125).

11010122101011 is a wasteful number, since it uses less digits than its factorization.

11010122101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176963.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1101012 and 2101011, that multiplied together give a palindrome (2313238323132).

The spelling of 11010122101011 in words is "eleven trillion, ten billion, one hundred twenty-two million, one hundred one thousand, eleven".