101100122201201 has 8 divisors (see below), whose sum is σ = 101557755936000. Its totient is φ = 100642526591472.

The previous prime is 101100122201189. The next prime is 101100122201251. The reversal of 101100122201201 is 102102221001101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100122201201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100122201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4208951 + ... + 14829548.

It is an arithmetic number, because the mean of its divisors is an integer number (12694719492000).

Almost surely, 2^{101100122201201} is an apocalyptic number.

It is an amenable number.

101100122201201 is a deficient number, since it is larger than the sum of its proper divisors (457633734799).

101100122201201 is a wasteful number, since it uses less digits than its factorization.

101100122201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19062535.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100122201201 its reverse (102102221001101), we get a palindrome (203202343202302).

The spelling of 101100122201201 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, two hundred one thousand, two hundred one".