2102211305 has 24 divisors (see below), whose sum is σ = 2672083080. Its totient is φ = 1585812480.

The previous prime is 2102211283. The next prime is 2102211311. The reversal of 2102211305 is 5031122012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136796416 + 1965414889 = 11696^2 + 44333^2 .

It is not a de Polignac number, because 2102211305 - 2¹⁴ = 2102194921 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264185 + ... + 272025.

It is an arithmetic number, because the mean of its divisors is an integer number (111336795).

Almost surely, 2^2102211305 is an apocalyptic number.

It is an amenable number.

2102211305 is a deficient number, since it is larger than the sum of its proper divisors (569871775).

2102211305 is an equidigital number, since it uses as much as digits as its factorization.

2102211305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2102211305 is about 45849.8779169585. The cubic root of 2102211305 is about 1281.0284916136.

Adding to 2102211305 its reverse (5031122012), we get a palindrome (7133333317).

The spelling of 2102211305 in words is "two billion, one hundred two million, two hundred eleven thousand, three hundred five".