1010002117 has 2 divisors, whose sum is σ = 1010002118. Its totient is φ = 1010002116.

The previous prime is 1010002099. The next prime is 1010002177. The reversal of 1010002117 is 7112000101.

1010002117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1008761121 + 1240996 = 31761^2 + 1114^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010002117 - 2¹⁵ = 1009969349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010002097 and 1010002106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010002177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001058 + 505001059.

It is an arithmetic number, because the mean of its divisors is an integer number (505001059).

Almost surely, 2^1010002117 is an apocalyptic number.

It is an amenable number.

1010002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010002117 is an equidigital number, since it uses as much as digits as its factorization.

1010002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 1010002117 is about 31780.5304707143. The cubic root of 1010002117 is about 1003.3229845427.

Adding to 1010002117 its reverse (7112000101), we get a palindrome (8122002218).

The spelling of 1010002117 in words is "one billion, ten million, two thousand, one hundred seventeen".