220120100220221 has 2 divisors, whose sum is σ = 220120100220222. Its totient is φ = 220120100220220.

The previous prime is 220120100220197. The next prime is 220120100220233. The reversal of 220120100220221 is 122022001021022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218213461202500 + 1906639017721 = 14772050^2 + 1380811^2 .

It is a cyclic number.

It is not a de Polignac number, because 220120100220221 - 2²⁶ = 220120033111357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220120100220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220120100220421) 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, 110060050110110 + 110060050110111.

It is an arithmetic number, because the mean of its divisors is an integer number (110060050110111).

Almost surely, 2^{220120100220221} is an apocalyptic number.

It is an amenable number.

220120100220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220120100220221 is an equidigital number, since it uses as much as digits as its factorization.

220120100220221 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 17.

Adding to 220120100220221 its reverse (122022001021022), we get a palindrome (342142101241243).

The spelling of 220120100220221 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred million, two hundred twenty thousand, two hundred twenty-one".