20211133121117 has 2 divisors, whose sum is σ = 20211133121118. Its totient is φ = 20211133121116.

The previous prime is 20211133121111. The next prime is 20211133121131. The reversal of 20211133121117 is 71112133111202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11558510847961 + 8652622273156 = 3399781^2 + 2941534^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20211133121117 is a prime.

It is a super-3 number, since 3×20211133121117³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20211133121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10105566560558 + 10105566560559.

It is an arithmetic number, because the mean of its divisors is an integer number (10105566560559).

Almost surely, 2^{20211133121117} is an apocalyptic number.

It is an amenable number.

20211133121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20211133121117 is an equidigital number, since it uses as much as digits as its factorization.

20211133121117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 20211133121117 its reverse (71112133111202), we get a palindrome (91323266232319).

The spelling of 20211133121117 in words is "twenty trillion, two hundred eleven billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred seventeen".