20212122002117 has 2 divisors, whose sum is σ = 20212122002118. Its totient is φ = 20212122002116.

The previous prime is 20212122002087. The next prime is 20212122002213. The reversal of 20212122002117 is 71120022121202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14809058848516 + 5403063153601 = 3848254^2 + 2324449^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212122002117 - 2⁸ = 20212122001861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20212122002092 and 20212122002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20212122007117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106061001058 + 10106061001059.

It is an arithmetic number, because the mean of its divisors is an integer number (10106061001059).

Almost surely, 2^{20212122002117} is an apocalyptic number.

It is an amenable number.

20212122002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212122002117 is an equidigital number, since it uses as much as digits as its factorization.

20212122002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 20212122002117 its reverse (71120022121202), we get a palindrome (91332144123319).

The spelling of 20212122002117 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, two thousand, one hundred seventeen".