21201110102177 has 2 divisors, whose sum is σ = 21201110102178. Its totient is φ = 21201110102176.

The previous prime is 21201110102099. The next prime is 21201110102191. The reversal of 21201110102177 is 77120101110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21150423883681 + 50686218496 = 4598959^2 + 225136^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201110102177 - 2³⁸ = 20926232195233 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201110102677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600555051088 + 10600555051089.

It is an arithmetic number, because the mean of its divisors is an integer number (10600555051089).

Almost surely, 2^{21201110102177} is an apocalyptic number.

It is an amenable number.

21201110102177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201110102177 is an equidigital number, since it uses as much as digits as its factorization.

21201110102177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 26.

Adding to 21201110102177 its reverse (77120101110212), we get a palindrome (98321211212389).

The spelling of 21201110102177 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, one hundred two thousand, one hundred seventy-seven".