10111122020009 has 2 divisors, whose sum is σ = 10111122020010. Its totient is φ = 10111122020008.

The previous prime is 10111122020003. The next prime is 10111122020011. The reversal of 10111122020009 is 90002022111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7378845258409 + 2732276761600 = 2716403^2 + 1652960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111122020009 - 2²⁴ = 10111105242793 is a prime.

Together with 10111122020011, 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 (10111122020003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055561010004 + 5055561010005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055561010005).

Almost surely, 2^{10111122020009} is an apocalyptic number.

It is an amenable number.

10111122020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111122020009 is an equidigital number, since it uses as much as digits as its factorization.

10111122020009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10111122020009 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, twenty thousand, nine".