201202120201001 has 8 divisors (see below), whose sum is σ = 213226234839720. Its totient is φ = 189198971762688.

The previous prime is 201202120200989. The next prime is 201202120201057. The reversal of 201202120201001 is 100102021202102.

It can be written as a sum of positive squares in 4 ways, for example, as 53821680025 + 201148298520976 = 231995^2 + 14182676^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 201202120201001 - 2²⁶ = 201202053092137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201202120206001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241530336 + ... + 5241568721.

It is an arithmetic number, because the mean of its divisors is an integer number (26653279354965).

Almost surely, 2^{201202120201001} is an apocalyptic number.

It is an amenable number.

201202120201001 is a deficient number, since it is larger than the sum of its proper divisors (12024114638719).

201202120201001 is a wasteful number, since it uses less digits than its factorization.

201202120201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483100203.

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

Adding to 201202120201001 its reverse (100102021202102), we get a palindrome (301304141403103).

The spelling of 201202120201001 in words is "two hundred one trillion, two hundred two billion, one hundred twenty million, two hundred one thousand, one".