22120221200261 has 2 divisors, whose sum is σ = 22120221200262. Its totient is φ = 22120221200260.

The previous prime is 22120221200243. The next prime is 22120221200263. The reversal of 22120221200261 is 16200212202122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11534106516100 + 10586114684161 = 3396190^2 + 3253631^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120221200261 - 2¹⁴ = 22120221183877 is a prime.

It is a Sophie Germain prime.

Together with 22120221200263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120221200263) 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, 11060110600130 + 11060110600131.

It is an arithmetic number, because the mean of its divisors is an integer number (11060110600131).

Almost surely, 2^{22120221200261} is an apocalyptic number.

It is an amenable number.

22120221200261 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120221200261 is an equidigital number, since it uses as much as digits as its factorization.

22120221200261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 22120221200261 its reverse (16200212202122), we get a palindrome (38320433402383).

The spelling of 22120221200261 in words is "twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thousand, two hundred sixty-one".