20112100121209 has 2 divisors, whose sum is σ = 20112100121210. Its totient is φ = 20112100121208.

The previous prime is 20112100121189. The next prime is 20112100121291. The reversal of 20112100121209 is 90212100121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16295754240000 + 3816345881209 = 4036800^2 + 1953547^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112100121209 - 2¹⁷ = 20112099990137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20112100121209.

It is not a weakly prime, because it can be changed into another prime (20112100121809) 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, 10056050060604 + 10056050060605.

It is an arithmetic number, because the mean of its divisors is an integer number (10056050060605).

Almost surely, 2^{20112100121209} is an apocalyptic number.

It is an amenable number.

20112100121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112100121209 is an equidigital number, since it uses as much as digits as its factorization.

20112100121209 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 20112100121209 in words is "twenty trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred nine".