10120122122221 has 2 divisors, whose sum is σ = 10120122122222. Its totient is φ = 10120122122220.

The previous prime is 10120122122197. The next prime is 10120122122269. The reversal of 10120122122221 is 12222122102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5105272465225 + 5014849656996 = 2259485^2 + 2239386^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120122122221 - 2⁴³ = 1324029100013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120122122021) 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, 5060061061110 + 5060061061111.

It is an arithmetic number, because the mean of its divisors is an integer number (5060061061111).

Almost surely, 2^{10120122122221} is an apocalyptic number.

It is an amenable number.

10120122122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120122122221 is an equidigital number, since it uses as much as digits as its factorization.

10120122122221 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 19.

Adding to 10120122122221 its reverse (12222122102101), we get a palindrome (22342244224322).

The spelling of 10120122122221 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".