11221011012211 has 48 divisors (see below), whose sum is σ = 15389583739488. Its totient is φ = 8042332838400.

The previous prime is 11221011012209. The next prime is 11221011012251.

11221011012211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11221011012211 - 2¹ = 11221011012209 is a prime.

It is a super-3 number, since 3×11221011012211³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11221011012251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880500 + ... + 4818433.

It is an arithmetic number, because the mean of its divisors is an integer number (320616327906).

Almost surely, 2^{11221011012211} is an apocalyptic number.

11221011012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221011012211 is a deficient number, since it is larger than the sum of its proper divisors (4168572727277).

11221011012211 is a wasteful number, since it uses less digits than its factorization.

11221011012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699252 (or 5699245 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, 1122101 and 1012211, that added together give a palindrome (2134312).

The spelling of 11221011012211 in words is "eleven trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred eleven".