2210000010821 has 2 divisors, whose sum is σ = 2210000010822. Its totient is φ = 2210000010820.

The previous prime is 2210000010797. The next prime is 2210000010859. The reversal of 2210000010821 is 1280100000122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1687169785921 + 522830224900 = 1298911^2 + 723070^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210000010821 - 2¹⁰ = 2210000009797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2210000010821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210000012821) 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, 1105000005410 + 1105000005411.

It is an arithmetic number, because the mean of its divisors is an integer number (1105000005411).

Almost surely, 2^{2210000010821} is an apocalyptic number.

It is an amenable number.

2210000010821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210000010821 is an equidigital number, since it uses as much as digits as its factorization.

2210000010821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2210000010821 its reverse (1280100000122), we get a palindrome (3490100010943).

The spelling of 2210000010821 in words is "two trillion, two hundred ten billion, ten thousand, eight hundred twenty-one".