10122112022221 has 8 divisors (see below), whose sum is σ = 10178301166488. Its totient is φ = 10065925800000.

The previous prime is 10122112022179. The next prime is 10122112022237. The reversal of 10122112022221 is 12222021122101.

It can be written as a sum of positive squares in 4 ways, for example, as 1165080613321 + 8957031408900 = 1079389^2 + 2992830^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122112022221 - 2¹⁷ = 10122111891149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112022251) 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 in 7 ways as a sum of consecutive naturals, for example, 6409971 + ... + 7831471.

It is an arithmetic number, because the mean of its divisors is an integer number (1272287645811).

Almost surely, 2^{10122112022221} is an apocalyptic number.

It is an amenable number.

10122112022221 is a deficient number, since it is larger than the sum of its proper divisors (56189144267).

10122112022221 is a wasteful number, since it uses less digits than its factorization.

10122112022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461023.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10122112022221 its reverse (12222021122101), we get a palindrome (22344133144322).

The spelling of 10122112022221 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand, two hundred twenty-one".