10112220221 has 16 divisors (see below), whose sum is σ = 10605697200. Its totient is φ = 9629104128.

The previous prime is 10112220193. The next prime is 10112220247. The reversal of 10112220221 is 12202221101.

It can be written as a sum of positive squares in 8 ways, for example, as 2649160900 + 7463059321 = 51470^2 + 86389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112220221 - 2¹⁴ = 10112203837 is a prime.

It is a super-4 number, since 4×10112220221⁴ (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112220196 and 10112220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112220821) 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 15 ways as a sum of consecutive naturals, for example, 818075 + ... + 830343.

It is an arithmetic number, because the mean of its divisors is an integer number (662856075).

Almost surely, 2^10112220221 is an apocalyptic number.

It is an amenable number.

10112220221 is a deficient number, since it is larger than the sum of its proper divisors (493476979).

10112220221 is a wasteful number, since it uses less digits than its factorization.

10112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10112220221 its reverse (12202221101), we get a palindrome (22314441322).

The spelling of 10112220221 in words is "ten billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".