11012211221011 has 128 divisors (see below), whose sum is σ = 15224019535872. Its totient is φ = 7754488473600.

The previous prime is 11012211220973. The next prime is 11012211221017.

11012211221011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11012211221011 - 2¹⁷ = 11012211089939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012211221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1211326576 + ... + 1211335666.

It is an arithmetic number, because the mean of its divisors is an integer number (118937652624).

Almost surely, 2^{11012211221011} is an apocalyptic number.

11012211221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012211221011 is a deficient number, since it is larger than the sum of its proper divisors (4211808314861).

11012211221011 is a wasteful number, since it uses less digits than its factorization.

11012211221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1101221 and 1221011, that added together give a palindrome (2322232).

The spelling of 11012211221011 in words is "eleven trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand, eleven".