2123220210361 has 2 divisors, whose sum is σ = 2123220210362. Its totient is φ = 2123220210360.

The previous prime is 2123220210323. The next prime is 2123220210367. The reversal of 2123220210361 is 1630120223212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1843743044025 + 279477166336 = 1357845^2 + 528656^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123220210361 - 2¹⁹ = 2123219686073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123220210367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061610105180 + 1061610105181.

It is an arithmetic number, because the mean of its divisors is an integer number (1061610105181).

Almost surely, 2^{2123220210361} is an apocalyptic number.

It is an amenable number.

2123220210361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123220210361 is an equidigital number, since it uses as much as digits as its factorization.

2123220210361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2123220210361 its reverse (1630120223212), we get a palindrome (3753340433573).

The spelling of 2123220210361 in words is "two trillion, one hundred twenty-three billion, two hundred twenty million, two hundred ten thousand, three hundred sixty-one".