10112112221 has 2 divisors, whose sum is σ = 10112112222. Its totient is φ = 10112112220.

The previous prime is 10112112217. The next prime is 10112112277. The reversal of 10112112221 is 12221121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8763019321 + 1349092900 = 93611^2 + 36730^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112112221 - 2² = 10112112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112112196 and 10112112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112112211) 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 as a sum of consecutive naturals, namely, 5056056110 + 5056056111.

It is an arithmetic number, because the mean of its divisors is an integer number (5056056111).

Almost surely, 2^10112112221 is an apocalyptic number.

It is an amenable number.

10112112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112112221 is an equidigital number, since it uses as much as digits as its factorization.

10112112221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112112221 its reverse (12221121101), we get a palindrome (22333233322).

The spelling of 10112112221 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".