21211120202117 has 2 divisors, whose sum is σ = 21211120202118. Its totient is φ = 21211120202116.

The previous prime is 21211120201993. The next prime is 21211120202143. The reversal of 21211120202117 is 71120202111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20777314869796 + 433805332321 = 4558214^2 + 658639^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211120202117 - 2¹⁰ = 21211120201093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21211120202092 and 21211120202101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211120202917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605560101058 + 10605560101059.

It is an arithmetic number, because the mean of its divisors is an integer number (10605560101059).

Almost surely, 2^{21211120202117} is an apocalyptic number.

It is an amenable number.

21211120202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211120202117 is an equidigital number, since it uses as much as digits as its factorization.

21211120202117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 21211120202117 its reverse (71120202111212), we get a palindrome (92331322313329).

The spelling of 21211120202117 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty million, two hundred two thousand, one hundred seventeen".