102002022011117 has 2 divisors, whose sum is σ = 102002022011118. Its totient is φ = 102002022011116.

The previous prime is 102002022011101. The next prime is 102002022011119. The reversal of 102002022011117 is 711110220200201.

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., 101644586627236 + 357435383881 = 10081894^2 + 597859^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002022011117 - 2⁴ = 102002022011101 is a prime.

It is a super-3 number, since 3×102002022011117³ (a number of 43 digits) contains 333 as substring.

Together with 102002022011119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102002022011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001011005558 + 51001011005559.

It is an arithmetic number, because the mean of its divisors is an integer number (51001011005559).

Almost surely, 2^{102002022011117} is an apocalyptic number.

It is an amenable number.

102002022011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002022011117 is an equidigital number, since it uses as much as digits as its factorization.

102002022011117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102002022011117 its reverse (711110220200201), we get a palindrome (813112242211318).

The spelling of 102002022011117 in words is "one hundred two trillion, two billion, twenty-two million, eleven thousand, one hundred seventeen".