20211011101009 has 2 divisors, whose sum is σ = 20211011101010. Its totient is φ = 20211011101008.

The previous prime is 20211011100983. The next prime is 20211011101013. The reversal of 20211011101009 is 90010111011202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14351004745984 + 5860006355025 = 3788272^2 + 2420745^2 .

It is a cyclic number.

It is not a de Polignac number, because 20211011101009 - 2¹³ = 20211011092817 is a prime.

It is not a weakly prime, because it can be changed into another prime (20211011101069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10105505550504 + 10105505550505.

It is an arithmetic number, because the mean of its divisors is an integer number (10105505550505).

Almost surely, 2^{20211011101009} is an apocalyptic number.

It is an amenable number.

20211011101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20211011101009 is an equidigital number, since it uses as much as digits as its factorization.

20211011101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 20211011101009 in words is "twenty trillion, two hundred eleven billion, eleven million, one hundred one thousand, nine".