1022211121221 has 12 divisors (see below), whose sum is σ = 1489593788748. Its totient is φ = 675443336064.

The previous prime is 1022211121187. The next prime is 1022211121241. The reversal of 1022211121221 is 1221211122201.

1022211121221 is a `hidden beast` number, since 102 + 221 + 1 + 121 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92309630625 + 929901490596 = 303825^2 + 964314^2 .

It is not a de Polignac number, because 1022211121221 - 2⁷ = 1022211121093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022211121194 and 1022211121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211121241) 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, 502560990 + ... + 502563023.

It is an arithmetic number, because the mean of its divisors is an integer number (124132815729).

Almost surely, 2^{1022211121221} is an apocalyptic number.

It is an amenable number.

1022211121221 is a deficient number, since it is larger than the sum of its proper divisors (467382667527).

1022211121221 is a wasteful number, since it uses less digits than its factorization.

1022211121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005124132 (or 1005124129 counting only the distinct ones).

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

Adding to 1022211121221 its reverse (1221211122201), we get a palindrome (2243422243422).

The spelling of 1022211121221 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".