10112122010201 has 2 divisors, whose sum is σ = 10112122010202. Its totient is φ = 10112122010200.

The previous prime is 10112122010189. The next prime is 10112122010269. The reversal of 10112122010201 is 10201022121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7799167704601 + 2312954305600 = 2792699^2 + 1520840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112122010201 - 2²² = 10112117815897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10112122010281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061005100 + 5056061005101.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061005101).

Almost surely, 2^{10112122010201} is an apocalyptic number.

It is an amenable number.

10112122010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112122010201 is an equidigital number, since it uses as much as digits as its factorization.

10112122010201 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 10112122010201 its reverse (10201022121101), we get a palindrome (20313144131302).

The spelling of 10112122010201 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, ten thousand, two hundred one".