20011100012177 has 2 divisors, whose sum is σ = 20011100012178. Its totient is φ = 20011100012176.

The previous prime is 20011100012117. The next prime is 20011100012201. The reversal of 20011100012177 is 77121000111002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10703621746321 + 9307478265856 = 3271639^2 + 3050816^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011100012177 - 2²⁸ = 20010831576721 is a prime.

It is not a weakly prime, because it can be changed into another prime (20011100012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005550006088 + 10005550006089.

It is an arithmetic number, because the mean of its divisors is an integer number (10005550006089).

Almost surely, 2^{20011100012177} is an apocalyptic number.

It is an amenable number.

20011100012177 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011100012177 is an equidigital number, since it uses as much as digits as its factorization.

20011100012177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 23.

Adding to 20011100012177 its reverse (77121000111002), we get a palindrome (97132100123179).

The spelling of 20011100012177 in words is "twenty trillion, eleven billion, one hundred million, twelve thousand, one hundred seventy-seven".