21071610567101 has 2 divisors, whose sum is σ = 21071610567102. Its totient is φ = 21071610567100.

The previous prime is 21071610567089. The next prime is 21071610567127. The reversal of 21071610567101 is 10176501617012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19370790303076 + 1700820264025 = 4401226^2 + 1304155^2 .

It is a cyclic number.

It is not a de Polignac number, because 21071610567101 - 2¹⁰ = 21071610566077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21071610537101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10535805283550 + 10535805283551.

It is an arithmetic number, because the mean of its divisors is an integer number (10535805283551).

Almost surely, 2^{21071610567101} is an apocalyptic number.

It is an amenable number.

21071610567101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21071610567101 is an equidigital number, since it uses as much as digits as its factorization.

21071610567101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 21071610567101 in words is "twenty-one trillion, seventy-one billion, six hundred ten million, five hundred sixty-seven thousand, one hundred one".