10200102029209 has 2 divisors, whose sum is σ = 10200102029210. Its totient is φ = 10200102029208.

The previous prime is 10200102029203. The next prime is 10200102029213. The reversal of 10200102029209 is 90292020100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10181938537225 + 18163491984 = 3190915^2 + 134772^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200102029209 - 2¹³ = 10200102021017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200102029203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100051014604 + 5100051014605.

It is an arithmetic number, because the mean of its divisors is an integer number (5100051014605).

Almost surely, 2^{10200102029209} is an apocalyptic number.

It is an amenable number.

10200102029209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200102029209 is an equidigital number, since it uses as much as digits as its factorization.

10200102029209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 10200102029209 in words is "ten trillion, two hundred billion, one hundred two million, twenty-nine thousand, two hundred nine".