2102022212117 has 2 divisors, whose sum is σ = 2102022212118. Its totient is φ = 2102022212116.

The previous prime is 2102022212041. The next prime is 2102022212149. The reversal of 2102022212117 is 7112122202012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960114801681 + 141907410436 = 1400041^2 + 376706^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102022212117 - 2²⁴ = 2102005434901 is a prime.

It is a super-3 number, since 3×2102022212117³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2102022212092 and 2102022212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102022212317) 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, 1051011106058 + 1051011106059.

It is an arithmetic number, because the mean of its divisors is an integer number (1051011106059).

Almost surely, 2^{2102022212117} is an apocalyptic number.

It is an amenable number.

2102022212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102022212117 is an equidigital number, since it uses as much as digits as its factorization.

2102022212117 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 2102022212117 its reverse (7112122202012), we get a palindrome (9214144414129).

The spelling of 2102022212117 in words is "two trillion, one hundred two billion, twenty-two million, two hundred twelve thousand, one hundred seventeen".