1022211221 has 16 divisors (see below), whose sum is σ = 1074025008. Its totient is φ = 971980800.

The previous prime is 1022211217. The next prime is 1022211259. The reversal of 1022211221 is 1221122201.

It can be written as a sum of positive squares in 8 ways, for example, as 931104196 + 91107025 = 30514^2 + 9545^2 .

It is not a de Polignac number, because 1022211221 - 2² = 1022211217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022211196 and 1022211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280805 + ... + 284421.

It is an arithmetic number, because the mean of its divisors is an integer number (67126563).

Almost surely, 2^1022211221 is an apocalyptic number.

It is an amenable number.

1022211221 is a deficient number, since it is larger than the sum of its proper divisors (51813787).

1022211221 is a wasteful number, since it uses less digits than its factorization.

1022211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1022211221 is about 31972.0381114498. The cubic root of 1022211221 is about 1007.3495915050.

Adding to 1022211221 its reverse (1221122201), we get a palindrome (2243333422).

The spelling of 1022211221 in words is "one billion, twenty-two million, two hundred eleven thousand, two hundred twenty-one".