200201100101117 has 2 divisors, whose sum is σ = 200201100101118. Its totient is φ = 200201100101116.

The previous prime is 200201100101069. The next prime is 200201100101129. The reversal of 200201100101117 is 711101001102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102107407442041 + 98093692659076 = 10104821^2 + 9904226^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201100101117 - 2⁶ = 200201100101053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200201100101095 and 200201100101104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201100107117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100550050558 + 100100550050559.

It is an arithmetic number, because the mean of its divisors is an integer number (100100550050559).

Almost surely, 2^{200201100101117} is an apocalyptic number.

It is an amenable number.

200201100101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201100101117 is an equidigital number, since it uses as much as digits as its factorization.

200201100101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 200201100101117 its reverse (711101001102002), we get a palindrome (911302101203119).

The spelling of 200201100101117 in words is "two hundred trillion, two hundred one billion, one hundred million, one hundred one thousand, one hundred seventeen".