10200201200201 has 12 divisors (see below), whose sum is σ = 10615496695620. Its totient is φ = 9789496473120.

The previous prime is 10200201200177. The next prime is 10200201200257. The reversal of 10200201200201 is 10200210200201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3131834550601 + 7068366649600 = 1769699^2 + 2658640^2 .

It is not a de Polignac number, because 10200201200201 - 2²⁶ = 10200134091337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10200201200701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5497130 + ... + 7114691.

It is an arithmetic number, because the mean of its divisors is an integer number (884624724635).

Almost surely, 2^{10200201200201} is an apocalyptic number.

It is an amenable number.

10200201200201 is a deficient number, since it is larger than the sum of its proper divisors (415295495419).

10200201200201 is an equidigital number, since it uses as much as digits as its factorization.

10200201200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612184 (or 12612017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200201200201 its reverse (10200210200201), we get a palindrome (20400411400402).

Subtracting 10200201200201 from its reverse (10200210200201), we obtain a square (9000000 = 3000²).

The spelling of 10200201200201 in words is "ten trillion, two hundred billion, two hundred one million, two hundred thousand, two hundred one".