10011220122121 has 2 divisors, whose sum is σ = 10011220122122. Its totient is φ = 10011220122120.

The previous prime is 10011220122119. The next prime is 10011220122131. The reversal of 10011220122121 is 12122102211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9430826031225 + 580394090896 = 3070965^2 + 761836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011220122121 - 2¹ = 10011220122119 is a prime.

Together with 10011220122119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10011220122095 and 10011220122104.

It is not a weakly prime, because it can be changed into another prime (10011220122131) 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, 5005610061060 + 5005610061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5005610061061).

Almost surely, 2^{10011220122121} is an apocalyptic number.

It is an amenable number.

10011220122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011220122121 is an equidigital number, since it uses as much as digits as its factorization.

10011220122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10011220122121 its reverse (12122102211001), we get a palindrome (22133322333122).

The spelling of 10011220122121 in words is "ten trillion, eleven billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".