212121101000117 has 2 divisors, whose sum is σ = 212121101000118. Its totient is φ = 212121101000116.

The previous prime is 212121101000077. The next prime is 212121101000153. The reversal of 212121101000117 is 711000101121212.

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., 196813710798961 + 15307390201156 = 14029031^2 + 3912466^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121101000117 - 2⁸ = 212121100999861 is a prime.

It is a super-3 number, since 3×212121101000117³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121101000317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060550500058 + 106060550500059.

It is an arithmetic number, because the mean of its divisors is an integer number (106060550500059).

Almost surely, 2^{212121101000117} is an apocalyptic number.

It is an amenable number.

212121101000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121101000117 is an equidigital number, since it uses as much as digits as its factorization.

212121101000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 212121101000117 its reverse (711000101121212), we get a palindrome (923121202121329).

The spelling of 212121101000117 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred seventeen", and thus it is an aban number.