21122000012117 has 2 divisors, whose sum is σ = 21122000012118. Its totient is φ = 21122000012116.

The previous prime is 21122000012083. The next prime is 21122000012143. The reversal of 21122000012117 is 71121000022112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18921447314641 + 2200552697476 = 4349879^2 + 1483426^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122000012117 - 2³⁰ = 21120926270293 is a prime.

It is a super-2 number, since 2×21122000012117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122000012417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561000006058 + 10561000006059.

It is an arithmetic number, because the mean of its divisors is an integer number (10561000006059).

Almost surely, 2^{21122000012117} is an apocalyptic number.

It is an amenable number.

21122000012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122000012117 is an equidigital number, since it uses as much as digits as its factorization.

21122000012117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 21122000012117 its reverse (71121000022112), we get a palindrome (92243000034229).

The spelling of 21122000012117 in words is "twenty-one trillion, one hundred twenty-two billion, twelve thousand, one hundred seventeen".