2102042221 has 2 divisors, whose sum is σ = 2102042222. Its totient is φ = 2102042220.

The previous prime is 2102042207. The next prime is 2102042237. The reversal of 2102042221 is 1222402012.

It is an a-pointer prime, because the next prime (2102042237) can be obtained adding 2102042221 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2098098025 + 3944196 = 45805^2 + 1986^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102042221 - 2¹³ = 2102034029 is a prime.

It is a super-2 number, since 2×2102042221² = 8837162997733225682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102042195 and 2102042204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102042251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051021110 + 1051021111.

It is an arithmetic number, because the mean of its divisors is an integer number (1051021111).

Almost surely, 2^2102042221 is an apocalyptic number.

It is an amenable number.

2102042221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102042221 is an equidigital number, since it uses as much as digits as its factorization.

2102042221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2102042221 is about 45848.0339927461. The cubic root of 2102042221 is about 1280.9941456801.

Adding to 2102042221 its reverse (1222402012), we get a palindrome (3324444233).

The spelling of 2102042221 in words is "two billion, one hundred two million, forty-two thousand, two hundred twenty-one".