1022102117 has 2 divisors, whose sum is σ = 1022102118. Its totient is φ = 1022102116.

The previous prime is 1022102111. The next prime is 1022102119. The reversal of 1022102117 is 7112012201.

1022102117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 532409476 + 489692641 = 23074^2 + 22129^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022102117 - 2²⁶ = 954993253 is a prime.

Together with 1022102119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022102095 and 1022102104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022102111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511051058 + 511051059.

It is an arithmetic number, because the mean of its divisors is an integer number (511051059).

Almost surely, 2^1022102117 is an apocalyptic number.

It is an amenable number.

1022102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022102117 is an equidigital number, since it uses as much as digits as its factorization.

1022102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 1022102117 is about 31970.3318249905. The cubic root of 1022102117 is about 1007.3137509735.

Adding to 1022102117 its reverse (7112012201), we get a palindrome (8134114318).

The spelling of 1022102117 in words is "one billion, twenty-two million, one hundred two thousand, one hundred seventeen".