10001211200201 has 8 divisors (see below), whose sum is σ = 10973752783560. Its totient is φ = 9057700708992.

The previous prime is 10001211200177. The next prime is 10001211200209. The reversal of 10001211200201 is 10200211210001.

It can be written as a sum of positive squares in 4 ways, for example, as 84884239801 + 9916326960400 = 291349^2 + 3149020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001211200201 - 2⁶ = 10001211200137 is a prime.

It is a super-3 number, since 3×10001211200201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001211200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7257772316 + ... + 7257773693.

It is an arithmetic number, because the mean of its divisors is an integer number (1371719097945).

Almost surely, 2^{10001211200201} is an apocalyptic number.

It is an amenable number.

10001211200201 is a deficient number, since it is larger than the sum of its proper divisors (972541583359).

10001211200201 is a wasteful number, since it uses less digits than its factorization.

10001211200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14515546075.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001211200201 its reverse (10200211210001), we get a palindrome (20201422410202).

The spelling of 10001211200201 in words is "ten trillion, one billion, two hundred eleven million, two hundred thousand, two hundred one".