20001122112109 has 2 divisors, whose sum is σ = 20001122112110. Its totient is φ = 20001122112108.

The previous prime is 20001122112091. The next prime is 20001122112121. The reversal of 20001122112109 is 90121122110002.

Together with previous prime (20001122112091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11431012236484 + 8570109875625 = 3380978^2 + 2927475^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001122112109 - 2⁴³ = 11205029089901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20001122112109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001122112149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000561056054 + 10000561056055.

It is an arithmetic number, because the mean of its divisors is an integer number (10000561056055).

Almost surely, 2^{20001122112109} is an apocalyptic number.

It is an amenable number.

20001122112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001122112109 is an equidigital number, since it uses as much as digits as its factorization.

20001122112109 is an evil number, because the sum of its binary digits is even.

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

The spelling of 20001122112109 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred nine".