20112100121089 has 2 divisors, whose sum is σ = 20112100121090. Its totient is φ = 20112100121088.

The previous prime is 20112100120999. The next prime is 20112100121129. The reversal of 20112100121089 is 98012100121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19054822623489 + 1057277497600 = 4365183^2 + 1028240^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112100121089 - 2¹⁵ = 20112100088321 is a prime.

It is not a weakly prime, because it can be changed into another prime (20112100121189) 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, 10056050060544 + 10056050060545.

It is an arithmetic number, because the mean of its divisors is an integer number (10056050060545).

Almost surely, 2^{20112100121089} is an apocalyptic number.

It is an amenable number.

20112100121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112100121089 is an equidigital number, since it uses as much as digits as its factorization.

20112100121089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 20112100121089 in words is "twenty trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, eighty-nine".