10220211121221 has 40 divisors (see below), whose sum is σ = 15794448443928. Its totient is φ = 6581476800000.

The previous prime is 10220211121201. The next prime is 10220211121273. The reversal of 10220211121221 is 12212111202201.

10220211121221 is a `hidden beast` number, since 1 + 0 + 220 + 211 + 1 + 212 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85608908100 + 10134602213121 = 292590^2 + 3183489^2 .

It is not a de Polignac number, because 10220211121221 - 2⁷ = 10220211121093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220211121194 and 10220211121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211121201) 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 39 ways as a sum of consecutive naturals, for example, 14899480 + ... + 15570321.

Almost surely, 2^{10220211121221} is an apocalyptic number.

It is an amenable number.

10220211121221 is a deficient number, since it is larger than the sum of its proper divisors (5574237322707).

10220211121221 is a wasteful number, since it uses less digits than its factorization.

10220211121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30469955 (or 30469946 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10220211121221 its reverse (12212111202201), we get a palindrome (22432322323422).

The spelling of 10220211121221 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".