21101033130017 has 2 divisors, whose sum is σ = 21101033130018. Its totient is φ = 21101033130016.

The previous prime is 21101033129983. The next prime is 21101033130101. The reversal of 21101033130017 is 71003133010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13259218625041 + 7841814504976 = 3641321^2 + 2800324^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101033130017 - 2¹⁰ = 21101033128993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101033129974 and 21101033130001.

It is not a weakly prime, because it can be changed into another prime (21101033136017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550516565008 + 10550516565009.

It is an arithmetic number, because the mean of its divisors is an integer number (10550516565009).

Almost surely, 2^{21101033130017} is an apocalyptic number.

It is an amenable number.

21101033130017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101033130017 is an equidigital number, since it uses as much as digits as its factorization.

21101033130017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 21101033130017 its reverse (71003133010112), we get a palindrome (92104166140129).

The spelling of 21101033130017 in words is "twenty-one trillion, one hundred one billion, thirty-three million, one hundred thirty thousand, seventeen".