10122112201 has 2 divisors, whose sum is σ = 10122112202. Its totient is φ = 10122112200.

The previous prime is 10122112181. The next prime is 10122112213. The reversal of 10122112201 is 10221122101.

10122112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9752550025 + 369562176 = 98755^2 + 19224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122112201 - 2¹¹ = 10122110153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122112241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056100 + 5061056101.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056101).

Almost surely, 2^10122112201 is an apocalyptic number.

It is an amenable number.

10122112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122112201 is an equidigital number, since it uses as much as digits as its factorization.

10122112201 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 13.

Adding to 10122112201 its reverse (10221122101), we get a palindrome (20343234302).

The spelling of 10122112201 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".