101100120001 has 8 divisors (see below), whose sum is σ = 103354796160. Its totient is φ = 98849761008.

The previous prime is 101100119959. The next prime is 101100120007. The reversal of 101100120001 is 100021001101.

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 101100120001 - 2⁷ = 101100119873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100120007) 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 7 ways as a sum of consecutive naturals, for example, 1031911 + ... + 1125628.

It is an arithmetic number, because the mean of its divisors is an integer number (12919349520).

Almost surely, 2^101100120001 is an apocalyptic number.

It is an amenable number.

101100120001 is a deficient number, since it is larger than the sum of its proper divisors (2254676159).

101100120001 is an equidigital number, since it uses as much as digits as its factorization.

101100120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158583.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101100120001 its reverse (100021001101), we get a palindrome (201121121102).

The spelling of 101100120001 in words is "one hundred one billion, one hundred million, one hundred twenty thousand, one".