1330100210201 has 24 divisors (see below), whose sum is σ = 1554489747720. Its totient is φ = 1134767031552.

The previous prime is 1330100210191. The next prime is 1330100210203. The reversal of 1330100210201 is 1020120010331.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 1330066291225 = 5824^2 + 1153285^2 .

It is not a de Polignac number, because 1330100210201 - 2²⁶ = 1330033101337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330100210203) 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 23 ways as a sum of consecutive naturals, for example, 12883655 + ... + 12986483.

It is an arithmetic number, because the mean of its divisors is an integer number (64770406155).

Almost surely, 2^{1330100210201} is an apocalyptic number.

It is an amenable number.

1330100210201 is a deficient number, since it is larger than the sum of its proper divisors (224389537519).

1330100210201 is a wasteful number, since it uses less digits than its factorization.

1330100210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104073 (or 104066 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1330100210201 its reverse (1020120010331), we get a palindrome (2350220220532).

The spelling of 1330100210201 in words is "one trillion, three hundred thirty billion, one hundred million, two hundred ten thousand, two hundred one".