10220010011221 has 8 divisors (see below), whose sum is σ = 10281259664280. Its totient is φ = 10158785352192.

The previous prime is 10220010011213. The next prime is 10220010011287. The reversal of 10220010011221 is 12211001002201.

It can be written as a sum of positive squares in 4 ways, for example, as 268698126321 + 9951311884900 = 518361^2 + 3154570^2 .

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 10220010011221 - 2³ = 10220010011213 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 (10220010011291) 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 in 7 ways as a sum of consecutive naturals, for example, 5427940 + ... + 7064173.

It is an arithmetic number, because the mean of its divisors is an integer number (1285157458035).

Almost surely, 2^{10220010011221} is an apocalyptic number.

It is an amenable number.

10220010011221 is a deficient number, since it is larger than the sum of its proper divisors (61249653059).

10220010011221 is a wasteful number, since it uses less digits than its factorization.

10220010011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497015.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10220010011221 its reverse (12211001002201), we get a palindrome (22431011013422).

The spelling of 10220010011221 in words is "ten trillion, two hundred twenty billion, ten million, eleven thousand, two hundred twenty-one".