121200202100201 has 12 divisors (see below), whose sum is σ = 149281401387348. Its totient is φ = 97774952954112.

The previous prime is 121200202100161. The next prime is 121200202100203. The reversal of 121200202100201 is 102001202002121.

It can be written as a sum of positive squares in 2 ways, for example, as 110348217864976 + 10851984235225 = 10504676^2 + 3294235^2 .

It is not a de Polignac number, because 121200202100201 - 2¹⁰ = 121200202099177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121200202100203) 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, 72749220116 + ... + 72749221781.

It is an arithmetic number, because the mean of its divisors is an integer number (12440116782279).

Almost surely, 2^{121200202100201} is an apocalyptic number.

It is an amenable number.

121200202100201 is a deficient number, since it is larger than the sum of its proper divisors (28081199287147).

121200202100201 is a wasteful number, since it uses less digits than its factorization.

121200202100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145498441928 (or 145498441921 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121200202100201 its reverse (102001202002121), we get a palindrome (223201404102322).

The spelling of 121200202100201 in words is "one hundred twenty-one trillion, two hundred billion, two hundred two million, one hundred thousand, two hundred one".