100102202021117 has 2 divisors, whose sum is σ = 100102202021118. Its totient is φ = 100102202021116.

The previous prime is 100102202021089. The next prime is 100102202021137. The reversal of 100102202021117 is 711120202201001.

It is a happy number.

It is an a-pointer prime, because the next prime (100102202021137) can be obtained adding 100102202021117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69673176926116 + 30429025095001 = 8347046^2 + 5516251^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102202021117 - 2⁶ = 100102202021053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102202021137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051101010558 + 50051101010559.

It is an arithmetic number, because the mean of its divisors is an integer number (50051101010559).

Almost surely, 2^{100102202021117} is an apocalyptic number.

It is an amenable number.

100102202021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102202021117 is an equidigital number, since it uses as much as digits as its factorization.

100102202021117 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 100102202021117 its reverse (711120202201001), we get a palindrome (811222404222118).

The spelling of 100102202021117 in words is "one hundred trillion, one hundred two billion, two hundred two million, twenty-one thousand, one hundred seventeen".