10112221000001 has 2 divisors, whose sum is σ = 10112221000002. Its totient is φ = 10112221000000.

The previous prime is 10112220999901. The next prime is 10112221000003. The reversal of 10112221000001 is 10000012221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6060853134400 + 4051367865601 = 2461880^2 + 2012801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112221000001 is a prime.

It is a super-2 number, since 2×10112221000001² (a number of 27 digits) contains 22 as substring.

Together with 10112221000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10112221000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056110500000 + 5056110500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056110500001).

Almost surely, 2^{10112221000001} is an apocalyptic number.

It is an amenable number.

10112221000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112221000001 is an equidigital number, since it uses as much as digits as its factorization.

10112221000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112221000001 its reverse (10000012221101), we get a palindrome (20112233221102).

The spelling of 10112221000001 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, one", and thus it is an aban number.