21106775201 has 2 divisors, whose sum is σ = 21106775202. Its totient is φ = 21106775200.

The previous prime is 21106775177. The next prime is 21106775219. The reversal of 21106775201 is 10257760112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18920277601 + 2186497600 = 137551^2 + 46760^2 .

It is a cyclic number.

It is not a de Polignac number, because 21106775201 - 2¹⁰ = 21106774177 is a prime.

It is not a weakly prime, because it can be changed into another prime (21106775101) 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, 10553387600 + 10553387601.

It is an arithmetic number, because the mean of its divisors is an integer number (10553387601).

Almost surely, 2^21106775201 is an apocalyptic number.

It is an amenable number.

21106775201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21106775201 is an equidigital number, since it uses as much as digits as its factorization.

21106775201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 21106775201 in words is "twenty-one billion, one hundred six million, seven hundred seventy-five thousand, two hundred one".