10112021122009 has 2 divisors, whose sum is σ = 10112021122010. Its totient is φ = 10112021122008.

The previous prime is 10112021121997. The next prime is 10112021122013. The reversal of 10112021122009 is 90022112021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10095057361984 + 16963760025 = 3177272^2 + 130245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112021122009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112021122069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056010561004 + 5056010561005.

It is an arithmetic number, because the mean of its divisors is an integer number (5056010561005).

Almost surely, 2^{10112021122009} is an apocalyptic number.

It is an amenable number.

10112021122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112021122009 is an equidigital number, since it uses as much as digits as its factorization.

10112021122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10112021122009 in words is "ten trillion, one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, nine".