21711020101 has 2 divisors, whose sum is σ = 21711020102. Its totient is φ = 21711020100.

The previous prime is 21711020087. The next prime is 21711020137. The reversal of 21711020101 is 10102011712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19265717601 + 2445302500 = 138801^2 + 49450^2 .

It is a cyclic number.

It is not a de Polignac number, because 21711020101 - 2²⁹ = 21174149189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21711020141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10855510050 + 10855510051.

It is an arithmetic number, because the mean of its divisors is an integer number (10855510051).

Almost surely, 2^21711020101 is an apocalyptic number.

It is an amenable number.

21711020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21711020101 is an equidigital number, since it uses as much as digits as its factorization.

21711020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 21711020101 its reverse (10102011712), we get a palindrome (31813031813).

The spelling of 21711020101 in words is "twenty-one billion, seven hundred eleven million, twenty thousand, one hundred one".