20001111100129 has 2 divisors, whose sum is σ = 20001111100130. Its totient is φ = 20001111100128.

The previous prime is 20001111100057. The next prime is 20001111100141. The reversal of 20001111100129 is 92100111110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18462833985600 + 1538277114529 = 4296840^2 + 1240273^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001111100129 - 2¹⁹ = 20001110575841 is a prime.

It is not a weakly prime, because it can be changed into another prime (20001111100429) 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, 10000555550064 + 10000555550065.

It is an arithmetic number, because the mean of its divisors is an integer number (10000555550065).

Almost surely, 2^{20001111100129} is an apocalyptic number.

It is an amenable number.

20001111100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001111100129 is an equidigital number, since it uses as much as digits as its factorization.

20001111100129 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 20001111100129 in words is "twenty trillion, one billion, one hundred eleven million, one hundred thousand, one hundred twenty-nine".