101002100117 has 2 divisors, whose sum is σ = 101002100118. Its totient is φ = 101002100116.

The previous prime is 101002100071. The next prime is 101002100179. The reversal of 101002100117 is 711001200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54777530116 + 46224570001 = 234046^2 + 214999^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002100117 - 2¹⁴ = 101002083733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002100417) 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, 50501050058 + 50501050059.

It is an arithmetic number, because the mean of its divisors is an integer number (50501050059).

Almost surely, 2^101002100117 is an apocalyptic number.

It is an amenable number.

101002100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002100117 is an equidigital number, since it uses as much as digits as its factorization.

101002100117 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 14.

Adding to 101002100117 its reverse (711001200101), we get a palindrome (812003300218).

The spelling of 101002100117 in words is "one hundred one billion, two million, one hundred thousand, one hundred seventeen".