101100111111201 has 8 divisors (see below), whose sum is σ = 134800243337664. Its totient is φ = 67400026479440.

The previous prime is 101100111111187. The next prime is 101100111111239. The reversal of 101100111111201 is 102111111001101.

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 101100111111201 - 2²⁵ = 101100077556769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101100111111281) 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 7 ways as a sum of consecutive naturals, for example, 6605901 + ... + 15679226.

It is an arithmetic number, because the mean of its divisors is an integer number (16850030417208).

Almost surely, 2^{101100111111201} is an apocalyptic number.

It is an amenable number.

101100111111201 is a deficient number, since it is larger than the sum of its proper divisors (33700132226463).

101100111111201 is a wasteful number, since it uses less digits than its factorization.

101100111111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23797351.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101100111111201 its reverse (102111111001101), we get a palindrome (203211222112302).

The spelling of 101100111111201 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, two hundred one".