2211312221 has 2 divisors, whose sum is σ = 2211312222. Its totient is φ = 2211312220.

The previous prime is 2211312217. The next prime is 2211312227. The reversal of 2211312221 is 1222131122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2007936100 + 203376121 = 44810^2 + 14261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211312221 - 2² = 2211312217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2211312221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211312227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105656110 + 1105656111.

It is an arithmetic number, because the mean of its divisors is an integer number (1105656111).

Almost surely, 2^2211312221 is an apocalyptic number.

It is an amenable number.

2211312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211312221 is an equidigital number, since it uses as much as digits as its factorization.

2211312221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 17.

The square root of 2211312221 is about 47024.5916622356. The cubic root of 2211312221 is about 1302.8168154434.

Adding to 2211312221 its reverse (1222131122), we get a palindrome (3433443343).

It can be divided in two parts, 2211 and 312221, that added together give a cube (314432 = 68³).

The spelling of 2211312221 in words is "two billion, two hundred eleven million, three hundred twelve thousand, two hundred twenty-one".