10220112122221 has 8 divisors (see below), whose sum is σ = 10822023231480. Its totient is φ = 9618281906688.

The previous prime is 10220112122203. The next prime is 10220112122237. The reversal of 10220112122221 is 12222121102201.

It can be written as a sum of positive squares in 4 ways, for example, as 1613598575625 + 8606513546596 = 1270275^2 + 2933686^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220112122221 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 (10220112122921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19963216 + ... + 20468761.

It is an arithmetic number, because the mean of its divisors is an integer number (1352752903935).

Almost surely, 2^{10220112122221} is an apocalyptic number.

It is an amenable number.

10220112122221 is a deficient number, since it is larger than the sum of its proper divisors (601911109259).

10220112122221 is a wasteful number, since it uses less digits than its factorization.

10220112122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40446863.

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

Adding to 10220112122221 its reverse (12222121102201), we get a palindrome (22442233224422).

The spelling of 10220112122221 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".