12211101002221 has 12 divisors (see below), whose sum is σ = 13555011567132. Its totient is φ = 10991090000000.

The previous prime is 12211101002209. The next prime is 12211101002231. The reversal of 12211101002221 is 12220010111221.

It can be written as a sum of positive squares in 2 ways, for example, as 11952542990025 + 258558012196 = 3457245^2 + 508486^2 .

It is not a de Polignac number, because 12211101002221 - 2¹¹ = 12211101000173 is a prime.

It is a super-2 number, since 2×12211101002221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211101002195 and 12211101002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211101002231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499582780 + ... + 499607221.

It is an arithmetic number, because the mean of its divisors is an integer number (1129584297261).

Almost surely, 2^{12211101002221} is an apocalyptic number.

12211101002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211101002221 is a deficient number, since it is larger than the sum of its proper divisors (1343910564911).

12211101002221 is a wasteful number, since it uses less digits than its factorization.

12211101002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999190124 (or 999190113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211101002221 its reverse (12220010111221), we get a palindrome (24431111113442).

The spelling of 12211101002221 in words is "twelve trillion, two hundred eleven billion, one hundred one million, two thousand, two hundred twenty-one".