11021011012011 has 128 divisors (see below), whose sum is σ = 19934130585600. Its totient is φ = 5230148544000.

The previous prime is 11021011012009. The next prime is 11021011012013.

11021011012011 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11021011012009) and next prime (11021011012013).

It is not a de Polignac number, because 11021011012011 - 2¹ = 11021011012009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11021011012013) 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, 818608066 + ... + 818621528.

It is an arithmetic number, because the mean of its divisors is an integer number (155735395200).

Almost surely, 2^{11021011012011} is an apocalyptic number.

11021011012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11021011012011 is a deficient number, since it is larger than the sum of its proper divisors (8913119573589).

11021011012011 is a wasteful number, since it uses less digits than its factorization.

11021011012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297.

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

It can be divided in two parts, 1102101 and 1012011, that multiplied together give a palindrome (1115338335111).

The spelling of 11021011012011 in words is "eleven trillion, twenty-one billion, eleven million, twelve thousand, eleven".