11102122022211 has 24 divisors (see below), whose sum is σ = 17654750633520. Its totient is φ = 6666828897600.

The previous prime is 11102122022183. The next prime is 11102122022249. The reversal of 11102122022211 is 11222022120111.

It is not a de Polignac number, because 11102122022211 - 2¹⁰ = 11102122021187 is a prime.

It is a super-2 number, since 2×11102122022211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11102122022611) 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 23 ways as a sum of consecutive naturals, for example, 514405020 + ... + 514426601.

It is an arithmetic number, because the mean of its divisors is an integer number (735614609730).

Almost surely, 2^{11102122022211} is an apocalyptic number.

11102122022211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102122022211 is a deficient number, since it is larger than the sum of its proper divisors (6552628611309).

11102122022211 is a wasteful number, since it uses less digits than its factorization.

11102122022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028831747 (or 1028831744 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102122022211 its reverse (11222022120111), we get a palindrome (22324144142322).

The spelling of 11102122022211 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, twenty-two thousand, two hundred eleven".