101100112111001 has 8 divisors (see below), whose sum is σ = 101127907054944. Its totient is φ = 101072320978720.

The previous prime is 101100112110973. The next prime is 101100112111007. The reversal of 101100112111001 is 100111211001101.

It is a happy number.

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 101100112111001 - 2³⁰ = 101099038369177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100112111007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52513646 + ... + 54404808.

It is an arithmetic number, because the mean of its divisors is an integer number (12640988381868).

Almost surely, 2^{101100112111001} is an apocalyptic number.

It is an amenable number.

101100112111001 is a deficient number, since it is larger than the sum of its proper divisors (27794943943).

101100112111001 is an equidigital number, since it uses as much as digits as its factorization.

101100112111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905831.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101100112111001 its reverse (100111211001101), we get a palindrome (201211323112102).

The spelling of 101100112111001 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, one".