100020010202117 has 2 divisors, whose sum is σ = 100020010202118. Its totient is φ = 100020010202116.

The previous prime is 100020010202087. The next prime is 100020010202137. The reversal of 100020010202117 is 711202010020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52488996215041 + 47531013987076 = 7244929^2 + 6894274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020010202117 - 2²² = 100020006007813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020010202095 and 100020010202104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020010202137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010005101058 + 50010005101059.

It is an arithmetic number, because the mean of its divisors is an integer number (50010005101059).

Almost surely, 2^{100020010202117} is an apocalyptic number.

It is an amenable number.

100020010202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020010202117 is an equidigital number, since it uses as much as digits as its factorization.

100020010202117 is an evil number, because the sum of its binary digits is even.

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

Adding to 100020010202117 its reverse (711202010020001), we get a palindrome (811222020222118).

The spelling of 100020010202117 in words is "one hundred trillion, twenty billion, ten million, two hundred two thousand, one hundred seventeen".