2211122120221 has 12 divisors (see below), whose sum is σ = 2572147721340. Its totient is φ = 1895228321280.

The previous prime is 2211122120201. The next prime is 2211122120281. The reversal of 2211122120221 is 1220212211122.

It can be written as a sum of positive squares in 2 ways, for example, as 1523400216121 + 687721904100 = 1234261^2 + 829290^2 .

It is not a de Polignac number, because 2211122120221 - 2²¹ = 2211120023069 is a prime.

It is a super-2 number, since 2×2211122120221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211122120201) 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, 6898365 + ... + 7211773.

It is an arithmetic number, because the mean of its divisors is an integer number (214345643445).

Almost surely, 2^{2211122120221} is an apocalyptic number.

It is an amenable number.

2211122120221 is a deficient number, since it is larger than the sum of its proper divisors (361025601119).

2211122120221 is a wasteful number, since it uses less digits than its factorization.

2211122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457404 (or 457397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2211122120221 its reverse (1220212211122), we get a palindrome (3431334331343).

Subtracting from 2211122120221 its reverse (1220212211122), we obtain a palindrome (990909909099).

The spelling of 2211122120221 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".