21120095827697 has 2 divisors, whose sum is σ = 21120095827698. Its totient is φ = 21120095827696.

The previous prime is 21120095827681. The next prime is 21120095827703. The reversal of 21120095827697 is 79672859002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17966331846241 + 3153763981456 = 4238671^2 + 1775884^2 .

It is a cyclic number.

It is not a de Polignac number, because 21120095827697 - 2⁴ = 21120095827681 is a prime.

It is a super-2 number, since 2×21120095827697² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21120095827657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560047913848 + 10560047913849.

It is an arithmetic number, because the mean of its divisors is an integer number (10560047913849).

Almost surely, 2^{21120095827697} is an apocalyptic number.

It is an amenable number.

21120095827697 is a deficient number, since it is larger than the sum of its proper divisors (1).

21120095827697 is an equidigital number, since it uses as much as digits as its factorization.

21120095827697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 21120095827697 in words is "twenty-one trillion, one hundred twenty billion, ninety-five million, eight hundred twenty-seven thousand, six hundred ninety-seven".