101330313100201 has 16 divisors (see below), whose sum is σ = 109827162517248. Its totient is φ = 93116929248000.

The previous prime is 101330313100169. The next prime is 101330313100253. The reversal of 101330313100201 is 102001313033101.

It is a cyclic number.

It is not a de Polignac number, because 101330313100201 - 2⁵ = 101330313100169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330313100271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23996350 + ... + 27901351.

It is an arithmetic number, because the mean of its divisors is an integer number (6864197657328).

Almost surely, 2^{101330313100201} is an apocalyptic number.

It is an amenable number.

101330313100201 is a deficient number, since it is larger than the sum of its proper divisors (8496849417047).

101330313100201 is a wasteful number, since it uses less digits than its factorization.

101330313100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51900432.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101330313100201 its reverse (102001313033101), we get a palindrome (203331626133302).

The spelling of 101330313100201 in words is "one hundred one trillion, three hundred thirty billion, three hundred thirteen million, one hundred thousand, two hundred one".