22211020021221 has 48 divisors (see below), whose sum is σ = 32750822937456. Its totient is φ = 14500018510848.

The previous prime is 22211020021217. The next prime is 22211020021259. The reversal of 22211020021221 is 12212002011222.

It is a happy number.

22211020021221 is a `hidden beast` number, since 2 + 221 + 1 + 0 + 200 + 21 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1163569958721 + 21047450062500 = 1078689^2 + 4587750^2 .

It is not a de Polignac number, because 22211020021221 - 2² = 22211020021217 is a prime.

It is a super-3 number, since 3×22211020021221³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22211020021194 and 22211020021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211020021261) 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, 1233046011 + ... + 1233064023.

It is an arithmetic number, because the mean of its divisors is an integer number (682308811197).

Almost surely, 2^{22211020021221} is an apocalyptic number.

It is an amenable number.

22211020021221 is a deficient number, since it is larger than the sum of its proper divisors (10539802916235).

22211020021221 is a wasteful number, since it uses less digits than its factorization.

22211020021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22211020021221 its reverse (12212002011222), we get a palindrome (34423022032443).

The spelling of 22211020021221 in words is "twenty-two trillion, two hundred eleven billion, twenty million, twenty-one thousand, two hundred twenty-one".