10202200010117 has 2 divisors, whose sum is σ = 10202200010118. Its totient is φ = 10202200010116.

The previous prime is 10202200010071. The next prime is 10202200010141. The reversal of 10202200010117 is 71101000220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10188870384001 + 13329626116 = 3192001^2 + 115454^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202200010117 - 2¹⁸ = 10202199747973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202200010095 and 10202200010104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202200010147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101100005058 + 5101100005059.

It is an arithmetic number, because the mean of its divisors is an integer number (5101100005059).

Almost surely, 2^{10202200010117} is an apocalyptic number.

It is an amenable number.

10202200010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202200010117 is an equidigital number, since it uses as much as digits as its factorization.

10202200010117 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 10202200010117 its reverse (71101000220201), we get a palindrome (81303200230318).

The spelling of 10202200010117 in words is "ten trillion, two hundred two billion, two hundred million, ten thousand, one hundred seventeen".