20102111122133 has 2 divisors, whose sum is σ = 20102111122134. Its totient is φ = 20102111122132.

The previous prime is 20102111122109. The next prime is 20102111122151. The reversal of 20102111122133 is 33122111120102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17871443416369 + 2230667705764 = 4227463^2 + 1493542^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102111122133 - 2²⁸ = 20101842686677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20102111122033) 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, 10051055561066 + 10051055561067.

It is an arithmetic number, because the mean of its divisors is an integer number (10051055561067).

Almost surely, 2^{20102111122133} is an apocalyptic number.

It is an amenable number.

20102111122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102111122133 is an equidigital number, since it uses as much as digits as its factorization.

20102111122133 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 20.

Adding to 20102111122133 its reverse (33122111120102), we get a palindrome (53224222242235).

The spelling of 20102111122133 in words is "twenty trillion, one hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".